Xilinx 7 Series Operation & User’s Manual

www.xilinx.com UG479 (v1.10) March 27, 2018 The information disclosed to you hereunder (the “Materials”) is provided solely for the selection and use of Xilinx products. To the maximum extent permitted by applicable law: (1) Materials are made available "AS IS" and with all faults, Xilinx hereby DISCLAIMS ALL WARRANTIES AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and (2) Xilinx shall not be liable (whether in contract or tort, including negligence, or under any other theory of liability) for any loss or damage of any kind or nature related to, arising under, or in connection with, the Materials (including your use of the Materials), including for any direct, indirect, special, incidental, or consequential loss or damage (including loss of data, profits, goodwill, or any type of loss or damage suffered as a result of any action brought by a third party) even if such damage or loss was reasonably foreseeable or Xilinx had been advised of the possibility of the same. Xilinx assumes no obligation to correct any errors contained in the Materials or to notify you of updates to the Materials or to product specifications. You may not reproduce, modify, distribute, or publicly display the Materials without prior written consent. Certain products are subject to the terms and conditions of Xilinx’s limited warranty, please refer to Xilinx’s Terms of Sale which can be viewed at http://www.xilinx.com/legal.htm#tos; IP cores may be subject to warranty and support terms contained in a license issued to you by Xilinx. Xilinx products are not designed or intended to be fail-safe or for use in any application requiring fail-safe performance; you assume sole risk and liability for use of Xilinx products in such critical applications, please refer to Xilinx’s Terms of Sale which can be viewed at http://www.xilinx.com/legal.htm#tos. AUTOMOTIVE APPLICATIONS DISCLAIMER AUTOMOTIVE PRODUCTS (IDENTIFIED AS “XA” IN THE PART NUMBER) ARE NOT WARRANTED FOR USE IN THE DEPLOYMENT OF AIRBAGS OR FOR USE IN APPLICATIONS THAT AFFECT CONTROL OF A VEHICLE (“SAFETY APPLICATION”) UNLESS THERE IS A SAFETY CONCEPT OR REDUNDANCY FEATURE CONSISTENT WITH THE ISO 26262 AUTOMOTIVE SAFETY STANDARD (“SAFETY DESIGN”). CUSTOMER SHALL, PRIOR TO USING OR DISTRIBUTING ANY SYSTEMS THAT INCORPORATE PRODUCTS, THOROUGHLY TEST SUCH SYSTEMS FOR SAFETY PURPOSES. USE OF PRODUCTS IN A SAFETY APPLICATION WITHOUT A SAFETY DESIGN IS FULLY AT THE RISK OF CUSTOMER, SUBJECT ONLY TO APPLICABLE LAWS AND REGULATIONS GOVERNING LIMITATIONS ON PRODUCT LIABILITY. © Copyright 2011–2018 Xilinx, Inc. Xilinx, the Xilinx logo, Artix, ISE, Kintex, Spartan, Virtex, Vivado, Zynq, and other designated brands included herein are trademarks of Xilinx in the United States and other countries. All other trademarks are the property of their respective owners. Revision History The following table shows the revision history for this document. Date Version Revision 03/01/2011 1.0 Initial Xilinx release. 03/28/2011 1.1 Added Chapter 1, Overview. Updated DSP48E1 Slice Features. In Table 2-1, removed XC7K30T and added XC7K355T, XC7K420T, and XC7K480T. 10/18/2011 1.2 Added Stacked Silicon Interconnect. Updated DSP48E1 column range and upper limit of DSP slices in DSP48E1 Tile and Interconnect. Added Artix-7 and Virtex-7 families to Table 2-1, including table notes. Added Memory-Mapped I/O Register Application. 01/30/2012 1.3 Removed top performance value of 600 MHz throughout. In Table 2-1, removed XC7A8, XC7A15, XC7A30T, and XC7A50T, and updated number of DSP48E1 slices per column for XC7K420T and XC7VX550T. Updated lower limit for number of DSP48E1 columns and DSP slices in DSP48E1 Tile and Interconnect. 10/02/2012 1.4 Updated Device Resources. Updated last sentence in first paragraph of DSP48E1 Tile and Interconnect. In Table 2-1, removed XC7A350T and XC7V1500T, and added XC7VH580T and XC7VH870T. 04/03/2013 1.5 Updated link for UG687 in Additional Documentation Resources. Updated Table 2-1 and Table 2-2. Updated first and last paragraphs in Features Relative to Prior Generations.

www.xilinx.com 7 Series DSP48E1 User Guide 08/07/2013 1.6 Updated Additional Documentation Resources and Table 2-1. 05/10/2014 1.7 Added link to UG958 in Preface. Minor improvements to descriptions in Table 2-2 and Table 2-3. Minor changes to Figure 2-7 and Figure 2-8. 11/10/2014 1.8 Added 7A15T device to Table 2-1. Updated last paragraph in MULTSIGNOUT and CARRYCASCOUT. 09/27/2016 1.9 Added Spartan-7 family to Preface. Added 7 series FPGA data sheets to Additional Documentation Resources. In DSP48E1 Tile and Interconnect, changed smallest number of slices from 60 to 10 and added Spartan-7 devices. Added Spartan-7, 7A12T, and 7A25T devices to Table 2-1. 03/27/2018 1.10 Added UG901 to Additional Documentation Resources. Updated first paragraph in Design Recommendations. Date Version Revision

www.xilinx.com 5 UG479 (v1.10) March 27, 2018 Revision History . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Preface: About This Guide Guide Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Additional Documentation Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Additional Support Resources. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Chapter 1: Overview DSP48E1 Slice Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Features Relative to Prior Generations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Device Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Design Recommendations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Stacked Silicon Interconnect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Chapter 2: DSP48E1 Description and Specifics DSP48E1 Slice Features. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Architectural Highlights of the 7 Series FPGA DSP48E1 Slice . . . . . . . . . . . . . . . . 16 DSP48E1 Tile and Interconnect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 DSP48E1 Slice Primitive. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Simplified DSP48E1 Slice Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 DSP48E1 Slice Attributes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Input Ports. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Output Ports . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Embedded Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Single Instruction, Multiple Data (SIMD) Mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Pattern Detect Logic. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Chapter 3: DSP48E1 Design Considerations Designing for Performance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Designing for Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Adder Tree Versus Adder Cascade. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Adder Tree . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Adder Cascade . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Connecting DSP48E1 Slices across Columns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Time Multiplexing the DSP48E1 Slice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Miscellaneous Notes and Suggestions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 DSP48E1 Design Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Pre-Adder Block Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Memory-Mapped I/O Register Application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Table of Contents Send Feedback

UG479 (v1.10) March 27, 2018 Appendix A: CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT CARRYOUT/CARRYCASCOUT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 MULTSIGNOUT and CARRYCASCOUT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Adder/Subtracter-only Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 MACC Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Send Feedback

www.xilinx.com 7 UG479 (v1.10) March 27, 2018 Preface About This Guide Xilinx® 7 series FPGAs include four FPGA families that are all designed for lowest power to enable a common design to scale across families for optimal power, performance, and cost. The Spartan®-7 family is the lowest density with the lowest cost entry point into the 7 series portfolio. The Artix®-7 family is optimized for highest performance-per-watt and bandwidth-per-watt for cost-sensitive, high volume applications. The Kintex®-7 family is an innovative class of FPGAs optimized for the best price-performance. The Virtex®-7 family is optimized for highest system performance and capacity. This guide serves as a technical reference describing the 7 series FPGAs DSP48E1 slice. This 7 series FPGAs DSP48E1 slice user guide is part of an overall set of documentation on the 7 series FPGAs, which is available on the Xilinx website at www.xilinx.com/documentation. Guide Contents This manual contains the following chapters: • Chapter 1, Overview • Chapter 2, DSP48E1 Description and Specifics • Chapter 3, DSP48E1 Design Considerations • Appendix A, CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT Additional Documentation Resources The following documents provide useful supplemental material to this guide: 1. UG193, Virtex-5 FPGA XtremeDSP Design Considerations User Guide 2. DS180, 7 Series FPGAs Overview 3. UG687, XST User Guide for Virtex-6, Spartan-6, and 7 Series Devices 4. UG901, Vivado Design Suite User Guide: Synthesis 5. UG958, Vivado Design Suite Reference Guide: Model-Based DSP Design Using System Generator 6. 7 Series FPGA Data Sheets: DS181, Artix-7 FPGAs Data Sheet: DC and Switching Characteristics DS182, Kintex-7 FPGAs Data Sheet: DC and AC Switching Characteristics DS183, Virtex-7 T and XT FPGAs Data Sheet: DC and AC Switching Characteristics 7. UG073, XtremeDSP for Virtex-4 FPGAs User Guide Send Feedback

UG479 (v1.10) March 27, 2018 Preface: About This Guide Additional Support Resources To search the database of silicon and software questions and answers or to create a technical support case in WebCase, see the Xilinx website at: www.xilinx.com/support Send Feedback

www.xilinx.com 9 UG479 (v1.10) March 27, 2018 Chapter 1 Overview DSP48E1 Slice Overview FPGAs are efficient for digital signal processing (DSP) applications because they can implement custom, fully parallel algorithms. DSP applications use many binary multipliers and accumulators that are best implemented in dedicated DSP slices. All 7 series FPGAs have many dedicated, full-custom, low-power DSP slices, combining high speed with small size while retaining system design flexibility. The DSP slices enhance the speed and efficiency of many applications beyond digital signal processing, such as wide dynamic bus shifters, memory address generators, wide bus multiplexers, and memory-mapped I/O registers. The basic functionality of the DSP48E1 slice is shown in Figure 1-1. For complete details, refer to Figure 2-1 and Chapter 2, DSP48E1 Description and Specifics. Some highlights of the DSP functionality include: • 25 × 18 two’s-complement multiplier: • Dynamic bypass • 48-bit accumulator: • Can be used as a synchronous up/down counter • Power saving pre-adder: • Optimizes symmetrical filter applications and reduces DSP slice requirements X-Ref Target - Figure 1-1 Figure 1-1: Basic DSP48E1 Slice Functionality UG479_c1_21_032111 48-Bit Accumulator/Logic Unit Pattern Detector 25 x 18 Multiplier Pre-adder B A D C P + / – X = + – Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 1: Overview • Single-instruction-multiple-data (SIMD) arithmetic unit: • Dual 24-bit or quad 12-bit add/subtract/accumulate • Optional logic unit: • Can generate any one of ten different logic functions of the two operands • Pattern detector: • Convergent or symmetric rounding • 96-bit-wide logic functions when used in conjunction with the logic unit • Advanced features: • Optional pipelining and dedicated buses for cascading Features Relative to Prior Generations The 7 series FPGA DSP48E1 slice is functionally equivalent and fully compatible with the Virtex®-6 FPGA DSP48E1 slice, and a superset of the Virtex-5 FPGA DSP48E slice [Ref 1]. The 7 series FPGA DSP48E1 slice offers more capability than the DSP48A1 slice of the Spartan®-6 FPGA family with these differences: • Wider functionality in DSP48E1 than DSP48A1: • Multiplier width is improved from 18 x 18 in the Spartan-6 family to 25 x 18 in the 7 series • The A register width is improved from 18 bits in the Spartan-6 family to 30 bits in the 7 series: - A and B registers can be concatenated in the 7 series - The A register feeds the pre-adder in the 7 series instead of the B register • Cascading capability on both pipeline paths for larger multipliers and larger post-adders • Unique features in DSP48E1 over DSP48A1: • Arithmetic logic unit (ALU) • SIMD mode • Pattern detector • 17-bit shifter Virtex-6 family DSP designs migrate directly to the DSP resources of the 7 series. Migration of designs with cascaded DSP slices should consider the number of DSP slices per column. Spartan-6 family DSP designs can be converted to the 7 series, but designers should examine how to take advantage of the greater capability of the DSP48E1 slice. See UG429, 7 Series FPGAs Migration User Guide for more information. Device Resources The DSP resources are optimized and scalable across all the 7 series families, providing a common architecture that improves implementation efficiency, IP implementation, and design migration. The number of DSP48E1 slices and the ratio between DSP and other device resources differentiates the 7 series families. Migration between the 7 series families does not require any design changes for the DSP48E1. See Table 2-1 for the available DSP48E1 resources for the 7 series FPGAs. Refer to 7 Series FPGAs Overview [Ref 2] for the most up-to-date information on all the 7 series FPGAs. Send Feedback

www.xilinx.com 11 UG479 (v1.10) March 27, 2018 Design Recommendations Design Recommendations Many DSP designs are well suited for the 7 series architecture. To obtain best use of the architecture, the underlying features and capabilities need to be understood so that design entry code can take advantage of these resources. DSP48E1 resources are used automatically for most DSP functions and many arithmetic functions. In most cases, DSP resources should be inferred. See your preferred synthesis tool documentation for guidelines to ensure proper inference of the DSP48E1 slice [Ref 3][Ref 4]. The synthesis tools can infer the resources. Instantiation can be used to directly access specific DSP48E1 slice features. Recommendations for using DSP48E1 slices include: • Use signed values in HDL source • Pipeline for performance and lower power, both in the DSP48E1 slice and fabric • Use the configurable logic block (CLB) carry logic to implement small multipliers, adders, and counters • Use CLB SRLs, CLB distributed RAM, and/or block RAM to store filter coefficients • Set USE_MULT to NONE when using only the adder/logic unit to save power • Cascade using the dedicated resources rather than fabric, keeping usage to one column for highest performance and lowest power • Consider using time multiplexing for the design For more information on design techniques, see Chapter 3, DSP48E1 Design Considerations. Stacked Silicon Interconnect The DSP slices cannot be cascaded across the interposer (super logic region (SLR) boundary). For more information on stacked silicon interconnect (SSI) technology, see WP380, Xilinx Stacked Silicon Interconnect Technology Delivers Breakthrough FPGA Capacity, Bandwidth, and Power Efficiency. Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 1: Overview Send Feedback

www.xilinx.com 13 UG479 (v1.10) March 27, 2018 Chapter 2 DSP48E1 Description and Specifics This chapter provides technical details of the DSP element available in 7 series FPGAs, the DSP48E1 slice. The DSP48E1 slice provides improved flexibility and utilization, improved efficiency of applications, reduced overall power consumption, and increased maximum frequency. The high performance allows designers to implement multiple slower operations in a single DSP48E1 slice using time-multiplexing methods. The DSP48E1 slice supports many independent functions. These functions include multiply, multiply accumulate (MACC), multiply add, three-input add, barrel shift, wide- bus multiplexing, magnitude comparator, bitwise logic functions, pattern detect, and wide counter. The architecture also supports cascading multiple DSP48E1 slices to form wide math functions, DSP filters, and complex arithmetic without the use of general FPGA logic. This chapter contains the following sections: • DSP48E1 Slice Features • Architectural Highlights of the 7 Series FPGA DSP48E1 Slice • Simplified DSP48E1 Slice Operation The 7 series FPGA DSP48E1 slice is shown in Figure 2-1. The slice is functionally equivalent to the Virtex®-6 FPGA DSP48E1 slice and is an extension of the DSP48E slice in Virtex-5 devices, described in the Virtex-5 FPGA XtremeDSP Design Considerations User Guide [Ref 1]. Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics DSP48E1 Slice Features This section describes the 7 series FPGA DSP48E1 slice features. The DSP slice consists of a multiplier followed by an accumulator. At least three pipeline registers are required for both multiply and multiply-accumulate operations to run at full speed. The multiply operation in the first stage generates two partial products that need to be added together in the second stage. When only one or two registers exist in the multiplier design, the M register should always be used to save power and improve performance. Add/Sub and Logic Unit operations require at least two pipeline registers (input, output) to run at full speed. The cascade capabilities of the DSP slice are extremely efficient at implementing high- speed pipelined filters built on the adder cascades instead of adder trees. Multiplexers are controlled with dynamic control signals, such as OPMODE, ALUMODE, and CARRYINSEL, enabling a great deal of flexibility. Designs using registers and dynamic opmodes are better equipped to take advantage of the DSP slice capabilities than combinatorial multiplies. In general, the DSP slice supports both sequential and cascaded operations due to the dynamic OPMODE and cascade capabilities. Fast Fourier Transforms (FFTs), floating point, computation (multiply, add/sub, divide), counters, and large bus multiplexers are some applications of the DSP slice. Additional capabilities of the DSP slice include synchronous resets and clock enables, dual A input pipeline registers, pattern detection, Logic Unit functionality, single X-Ref Target - Figure 2-1 Figure 2-1: 7 Series FPGA DSP48E1 Slice UG369_c1_01_052109 *These signals are dedicated routing paths internal to the DSP48E1 column. They are not accessible via fabric routing resources. X 17-Bit Shift 17-Bit Shift 0 Y Z 1 0 0 48 48 4 48 BCIN* ACIN* OPMODE PCIN* MULTSIGNIN* PCOUT* CARRYCASCOUT* MULTSIGNOUT* CREG/C Bypass/Mask CARRYCASCIN* CARRYIN CARRYINSEL A:B ALUMODE B B A C M P P P C MULT 25 X 18 A 18 30 3 PATTERNDETECT PATTERNBDETECT CARRYOUT 4 7 48 48 30 18 P P 5 D 25 25 INMODE BCOUT* ACOUT* 18 30 4 1 30 18 Dual B Register Dual A, D, and Pre-adder Send Feedback

www.xilinx.com 15 UG479 (v1.10) March 27, 2018 DSP48E1 Slice Features instruction/multiple data (SIMD) functionality, and MACC and Add-Acc extension to 96 bits. The DSP slice supports convergent and symmetric rounding, terminal count detection and auto-resetting for counters, and overflow/underflow detection for sequential accumulators. ALU functions are identical in 7 series FPGA DSP48E1 slice as in the Virtex-6 FPGA DSP48E1 slice. See ALUMODE Inputs, page 35 for more information. Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Architectural Highlights of the 7 Series FPGA DSP48E1 Slice The 7 series FPGA DSP48E1 slice is functionally equivalent to the Virtex-6 FPGA DSP48E1. The 7 series FPGA DSP48E1 slice contains a pre-adder after the A register with a 25-bit input vector called D. The D register can be used either as the pre-adder register or an alternate input to the multiplier. The DSP48E1 specific features are highlighted in Figure 2-2. More detailed descriptions are found starting at Input Ports, page 29. X-Ref Target - Figure 2-2 Figure 2-2: Hierarchical View of the 7 Series DSP48E1 Slice Input Registers and Pre-adder X 17-Bit Shift 17-Bit Shift 0 Y Z 1 0 0 48 48 18 4 3 48 30 BCIN* ACIN* OPMODE PCIN* MULTSIGNIN* PCOUT* CARRYCASCOUT* MULTSIGNOUT* CREG/C Bypass/Mask CARRYCASCIN* CARRYIN CARRYINSEL A:B ALUMODE B A C B M P P P C MULT 25 X 18 PATTERNDETECT PATTERNBDETECT CARRYOUT 4 7 48 48 30 18 P P 5 D 25 25 INMODE BCOUT* ACOUT* 18 30 4 30 18 Dual B Register Dual A, D, and Pre-adder 1 +– UG369_c1_02_072209 A D 30 A1 ACIN 25 25 A MULT ACOUT X MUX 30 30 25 25 INMODE[2] INMODE[3] INMODE[0] INMODE[1] D A2 AD CEA1 RSTA CED RSTD CEA2 RSTA CEAD RSTD B 18 B1 BCIN BCOUT X MUX 18 18 18 INMODE[4] B MULT B2 CEB1 RSTB CEB2 RSTB Send Feedback

www.xilinx.com 17 UG479 (v1.10) March 27, 2018 Architectural Highlights of the 7 Series FPGA DSP48E1 Slice The features in the 7 series FPGA DSP48E1 slice are: • 25-bit pre-adder with D register to enhance the capabilities of the A path • INMODE control supports balanced pipelining when dynamically switching between multiply (A*B) and add operations (A:B) • 25 x 18 multiplier • 30-bit A input of which the lower 25 bits feed the A input of the multiplier, and the entire 30-bit input forms the upper 30 bits of the 48-bit A:B concatenate internal bus. • Cascading A and B input • Semi-independently selectable pipelining between direct and cascade paths • Separate clock enables two-deep A and B set of input registers • Independent C input and C register with independent reset and clock enable. • CARRYCASCIN and CARRYCASCOUT internal cascade signals to support 96-bit accumulators/adders/subtracters in two DSP48E1 slices • MULTSIGNIN and MULTSIGNOUT internal cascade signals with special OPMODE setting to support a 96-bit MACC extension • Single Instruction Multiple Data (SIMD) Mode for three-input adder/subtracter which precludes use of multiplier in first stage • Dual 24-bit SIMD adder/subtracter/accumulator with two separate CARRYOUT signals • Quad 12-bit SIMD adder/subtracter/accumulator with four separate CARRYOUT signals • 48-bit logic unit • Bitwise logic operations – two-input AND, OR, NOT, NAND, NOR, XOR, and XNOR • Logic unit mode dynamically selectable via ALUMODE • Pattern detector • Overflow/underflow support • Convergent rounding support • Terminal count detection support and auto resetting • Cascading 48-bit P bus supports internal low-power adder cascade • The 48-bit P bus allows for 12-bit/QUAD or 24-bit/DUAL SIMD adder cascade support • Optional 17-bit right shift to enable wider multiplier implementation • Dynamic user-controlled operating modes • 7-bit OPMODE control bus provides X, Y, and Z multiplexer select signals • Carry in for the second stage adder • Support for rounding • Support for wider add/subtracts • 3-bit CARRYINSEL multiplexer • Carry out for the second stage adder • Support for wider add/subtracts • Available for each SIMD adder (up to four) Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics • Cascaded CARRYCASCOUT and MULTSIGNOUT allows for MACC extensions up to 96 bits • Optional input, pipeline, and output/accumulate registers • Optional control registers for control signals (OPMODE, ALUMODE, and CARRYINSEL) • Independent clock enable and resets for greater flexibility, with reset having priority. • To save power when the first stage multiplier is not being used, the USE_MULT attribute allows the customer to gate off internal multiplier logic. Each DSP48E1 slice has a two-input multiplier followed by multiplexers and a three-input adder/subtracter/accumulator. The DSP48E1 multiplier has asymmetric inputs and accepts an 18-bit two’s complement operand and a 25-bit two’s complement operand. The multiplier stage produces a 43-bit two’s complement result in the form of two partial products. These partial products are sign-extended to 48 bits in the X multiplexer and Y multiplexer and fed into three-input adder for final summation. This results in a 43-bit multiplication output, which has been sign-extended to 48 bits. Therefore, when the multiplier is used, the adder effectively becomes a two-input adder. The second stage adder/subtracter accepts three 48-bit, two’s complement operands and produces a 48-bit, two’s complement result when the multiplier is bypassed by setting USE_MULT attribute to NONE and with the appropriate OPMODE setting. In SIMD mode, the 48-bit adder/subtracter also supports dual 24-bit or quad 12-bit SIMD arithmetic operations with CARRYOUT bits. In this configuration, bitwise logic operations on two 48-bit binary numbers are also supported with dynamic ALUMODE control signals. Higher level DSP functions are supported by cascading individual DSP48E1 slices in a DSP48E1 column. Two datapaths (ACOUT and BCOUT) and the DSP48E1 slice outputs (PCOUT, MULTSIGNOUT, and CARRYCASCOUT) provide the cascade capability. The ability to cascade datapaths is useful in filter designs. For example, a Finite Impulse Response (FIR) filter design can use the cascading inputs to arrange a series of input data samples and the cascading outputs to arrange a series of partial output results. The ability to cascade provides a high-performance and low-power implementation of DSP filter functions because the general routing in the fabric is not used. The C input port allows the formation of many 3-input mathematical functions, such as 3-input addition or 2-input multiplication with an addition. One subset of this function is the valuable support of symmetrically rounding a multiplication toward zero or toward infinity. The C input together with the pattern detector also supports convergent rounding. For multi-precision arithmetic, the DSP48E1 slice provides a right wire shift by 17. Thus, a partial product from one DSP48E1 slice can be right justified and added to the next partial product computed in an adjacent DSP48E1 slice. Using this technique, the DSP48E1 slices can be used to build bigger multipliers. Programmable pipelining of input operands, intermediate products, and accumulator outputs enhances throughput. The 48-bit internal bus (PCOUT/PCIN) allows for aggregation of DSP slices in a single column. Fabric logic is needed when spanning multiple columns. The pattern detector at the output of the DSP48E1 slice provides support for convergent rounding, overflow/underflow, block floating point, and support for accumulator terminal count (counter auto reset). The pattern detector can detect if the output of the DSP48E1 slice matches a pattern, as qualified by a mask. Send Feedback

www.xilinx.com 19 UG479 (v1.10) March 27, 2018 Architectural Highlights of the 7 Series FPGA DSP48E1 Slice DSP48E1 Tile and Interconnect Two DSP48E1 slices and dedicated interconnect form a DSP48E1 tile (see Figure 2-3). The DSP48E1 tiles stack vertically in a DSP48E1 column. The height of a DSP48E1 tile is the same as five configurable logic blocks (CLBs) and also matches the height of one block RAM. The block RAM in 7 series devices can be split into two 18K block RAMs. Each DSP48E1 slice aligns horizontally with an 18K block RAM. The 7 series devices have up to 20 DSP48E1 columns. The 7 series devices offer from 10 to 3,600 DSP slices per device, yielding an impressive processing power in the range of tens of GMAC/s up to thousands of GMAC/s (peak), enabling very intensive DSP applications. Table 2-1 shows the number of DSP48E1 slices for each device in the 7 series. Refer to the product tables on xilinx.com for information on the Spartan-7, Artix-7, Kintex-7, and Virtex-7 families. X-Ref Target - Figure 2-3 Figure 2-3: DSP48E1 Interconnect and Relative Dedicated Element Sizes DSP48E1 Slice DSP48E1 Slice Interconnect UG479_c1_03_060910 Table 2-1: Number of DSP48E1 Slices in 7 Series Devices Device Total DSP48E1 Slices per Device Number of DSP48E1 Columns per Device Number of DSP48E1 Slices per Column 7S6 10 1 20(2) 7S15 20 1 20 7S25 80 2 40 7S50 120 2 60 7S75 140 2 80(2) 7S100 160 2 80 7A12T 40 2 40(2) 7A15T 45 2 60(2) 7A25T 80 2 40 7A35T 90 2 60(2) 7A50T 120 2 60 7A75T 180 3 80(2) 7A100T 240 3 80 7A200T 740 9 100(1) 7K70T 240 3 80 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics 7K160T 600 6 100 7K325T 840 6 140 7K355T 1,440 12 120 7K410T 1,540 11 140 7K420T 1,680 12 160(2) 7K480T 1,920 12 160 7V585T 1,260 7 180 7V2000T 2,160 9 240(3) 7VX330T 1,120 8 140 7VX415T 2,160 18 120 7VX485T 2,800 20 140 7VX550T 2,880 18 200(2) 7VX690T 3,600 18 200 7VX980T 3,600 20 180 7VX1140T 3,360 14 240(3) 7VH580T 1,680 14 120(3) 7VH870T 2,520 14 180(3) Notes: 1. The four center DSP columns contain GTP Quads that displace 20 DSP slices in those columns per GTP Quad. 2. The total DSP slice count is limited by tools. 3. There are 60 DSP slices per column in each SLR. Table 2-1: Number of DSP48E1 Slices in 7 Series Devices (Cont’d) Device Total DSP48E1 Slices per Device Number of DSP48E1 Columns per Device Number of DSP48E1 Slices per Column Send Feedback

www.xilinx.com 21 UG479 (v1.10) March 27, 2018 DSP48E1 Slice Primitive DSP48E1 Slice Primitive Figure 2-4 shows the DSP48E1 primitive. It also shows the input and output ports of the DSP48E1 slice along with the bit width of each port. The port definitions are in Table 2-2. X-Ref Target - Figure 2-4 Figure 2-4: DSP48E1 Slice Primitive A[29:0] B[17:0] C[47:0] OPMODE[6:0] ALUMODE[3:0] CARRYIN CARRYINSEL[2:0] CEA 1 CEA 2 CEB 1 CEB 2 CEC CED CEM CEP CEAD RSTA RSTB ACOUT[29:0] BCOUT[17:0] PCOUT[47:0] P[47:0] CARRYOUT[3:0] CARRYCASCOUT MULTSIGNOUT PATTERNDETECT PATTERNBDETECT OVERFLOW UNDERFLOW RSTC RSTD RSTM RSTP RSTCTRL RSTALLCARRYIN CLK RSTALUMODE RSTINMODE ACIN[29:0] BCIN[17:0] PCIN[47:0] CARRYCASCIN MULTSIGNIN CEALUMODE CECTRL CECARRYIN CEINMODE 30 18 48 D[24:0] 25 30 18 48 48 7 4 3 INMODE[4:0] 5 4 30 18 48 UG369_c1_04_051209 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Table 2-2: DSP48E1 Port Descriptions Name Direction Bit Width Description A(1) In 30 A[24:0] is the A input of the multiplier or the pre-adder. A[29:0] are the most significant bits (MSBs) of the A:B concatenated input to the second-stage adder/subtracter or logic function. ACIN(2) In 30 Cascaded data input from ACOUT of previous DSP48E1 slice (muxed with A). ACOUT(2) Out 30 Cascaded data output to ACIN of next DSP48E1 slice. ALUMODE In 4 Controls the selection of the logic function in the DSP48E1 slice (see Table 2-13, page 42). B(1) In 18 The B input of the multiplier. B[17:0] are the least significant bits (LSBs) of the A:B concatenated input to the second-stage adder/subtracter or logic function. BCIN(2) In 18 Cascaded data input from BCOUT of previous DSP48E1 slice (muxed with B). BCOUT(2) Out 18 Cascaded data output to BCIN of next DSP48E1 slice. C(1) In 48 Data input to the second-stage adder/subtracter, pattern detector, or logic function. CARRYCASCIN(2) In 1 Cascaded carry input from CARRYCASCOUT of previous DSP48E1 slice. CARRYCASCOUT(2) Out 1 Cascaded carry output to CARRYCASCIN of next DSP48E1 slice. This signal is internally fed back into the CARRYINSEL multiplexer input of the same DSP48E1 slice. CARRYIN In 1 Carry input from the FPGA logic. CARRYINSEL In 3 Selects the carry source (see Table 2-11). CARRYOUT Out 4 4-bit carry output from each 12-bit field of the accumulate/adder/logic unit. Normal 48-bit operation uses only CARRYOUT3. SIMD operation can use four carry out bits (CARRYOUT[3:0]). CEA1 In 1 Clock enable for the first A (input) register. A1 is only used if AREG = 2 or INMODE[0]= 1. CEA2 In 1 Clock enable for the second A (input) register. A2 is only used if AREG = 1 or 2 and INMODE[0]=0. CEAD In 1 Clock enable for the pre-adder output AD pipeline register. CEALUMODE In 1 Clock enable for ALUMODE (control inputs) registers. CEB1 In 1 Clock enable for the first B (input) register. B1 is only used if BREG = 2 or INMODE[4] = 1. CEB2 In 1 Clock enable for the second B (input) register. B2 is only used if BREG = 1 or 2 and INMODE[4]=0. CEC In 1 Clock enable for the C (input) register. CECARRYIN In 1 Clock enable for the CARRYIN (input from FPGA logic) register. Send Feedback

www.xilinx.com 23 UG479 (v1.10) March 27, 2018 DSP48E1 Slice Primitive CECTRL In 1 Clock enable for the OPMODE and CARRYINSEL (control inputs) registers. CED In 1 Clock enable for the D (input) register. CEINMODE In 1 Clock enable for the INMODE control input registers. CEM In 1 Clock enable for the post-multiply M (pipeline) register and the internal multiply round CARRYIN register. CEP In 1 Clock enable for the P (output) register. CLK In 1 CLK is the DSP48E1 input clock, common to all internal registers and flip-flops. D(1) In 25 25-bit data input to the pre-adder or alternative input to the multiplier. The pre-adder implements D + A as determined by the INMODE3 signal. INMODE In 5 These five control bits select the functionality of the pre-adder, the A, B, and D inputs, and the input registers. These bits should default to 5’b00000 if left unconnected. These are optionally invertible, providing routing flexibility. MULTSIGNIN(2) In 1 Sign of the multiplied result from the previous DSP48E1 slice for MACC extension. MULTSIGNOUT(2) Out 1 Sign of the multiplied result cascaded to the next DSP48E1 slice for MACC extension. OPMODE In 7 Controls the input to the X, Y, and Z multiplexers in the DSP48E1 slice (see Table 2-7, Table 2-8, and Table 2-9). OVERFLOW Out 1 Overflow indicator when used with the appropriate setting of the pattern detector. P Out 48 Data output from second stage adder/subtracter or logic function. PATTERNBDETECT Out 1 Match indicator between P[47:0] and the pattern bar. PATTERNDETECT Out 1 Match indicator between P[47:0] and the pattern. PCIN(2) In 48 Cascaded data input from PCOUT of previous DSP48E1 slice to adder. PCOUT(2) Out 48 Cascaded data output to PCIN of next DSP48E1 slice. RSTA In 1 Reset for both A (input) registers. RSTALLCARRYIN In 1 Reset for the Carry (internal path) and the CARRYIN register. RSTALUMODE In 1 Reset for ALUMODE (control inputs) registers. RSTB In 1 Reset for both B (input) registers. RSTC In 1 Reset for the C (input) register. RSTCTRL In 1 Reset for OPMODE and CARRYINSEL (control inputs) registers. RSTD In 1 Reset for the D (input) register and for the pre-adder (output) AD pipeline register. Table 2-2: DSP48E1 Port Descriptions (Cont’d) Name Direction Bit Width Description Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Simplified DSP48E1 Slice Operation The math portion of the DSP48E1 slice consists of a 25-bit pre-adder, a 25-bit by 18-bit two’s complement multiplier followed by three 48-bit datapath multiplexers (with outputs X, Y, and Z). This is followed by a three-input adder/subtracter or two-input logic unit (see Figure 2-5). When using two-input logic unit, the multiplier cannot be used. The data and control inputs to the DSP48E1 slice feed the arithmetic and logic stages. The A and B data inputs can optionally be registered one or two times to assist the construction of different, highly pipelined, DSP application solutions. The D path and the AD path can each be registered once. The other data inputs and the control inputs can be optionally registered once. Maximum frequency operation as specified in the data sheet is achieved by using pipeline registers. More detailed timing information is available in Chapter 3, DSP48E1 Design Considerations. In its most basic form, the output of the adder/subtracter/logic unit is a function of its inputs. The inputs are driven by the upstream multiplexers, carry select logic, and multiplier array. Equation 2-1 summarizes the combination of X, Y, Z, and CIN by the adder/subtracter. The CIN, X multiplexer output, and Y multiplexer output are always added together. This combined result can be selectively added to or subtracted from the Z multiplexer output. The second option is obtained by setting the ALUMODE to 0001. Adder/Sub Out = (Z ± (X + Y + CIN)) or (-Z + (X + Y + CIN) –1) Equation 2-1 A typical use of the slice is where A and B inputs are multiplied and the result is added to or subtracted from the C register. More detailed operations based on control and data inputs are described in later sections. Selecting the multiplier function consumes both X and Y multiplexer outputs to feed the adder. The two 43-bit partial products from the multiplier are sign extended to 48 bits before being sent to the adder/subtracter. When not using the first stage multiplier, the 48-bit, dual input, bitwise logic function implements AND, OR, NOT, NAND, NOR, XOR, and XNOR. The inputs to these functions are A:B, C, P, or PCIN selected through the X and Z multiplexers, with the Y multiplexer selecting either all 1s or all 0s depending on logic operation. The output of the adder/subtracter or logic unit feeds the pattern detector logic. The pattern detector allows the DSP48E1 slice to support Convergent Rounding, Counter Autoreset when a count value has been reached, and Overflow/Underflow/Saturation in RSTINMODE In 1 Reset for the INMODE (control input) registers. RSTM In 1 Reset for the M (pipeline) register. RSTP In 1 Reset for the P (output) register. UNDERFLOW Out 1 Underflow indicator when used with the appropriate setting of the pattern detector. Notes: 1. When these data ports are not in use and to reduce leakage power dissipation, the data port input signals must be tied High, the port input register must be selected, and the CE and RST input control signals must be tied Low. An example of unused C port recommended settings would be setting C[47:0] = all ones, CREG = 1, CEC = 0, and RSTC = 0. 2. These signals are dedicated routing paths internal to the DSP48E1 column. They are not accessible via fabric routing resources. 3. All signals are active High. Table 2-2: DSP48E1 Port Descriptions (Cont’d) Name Direction Bit Width Description Send Feedback

www.xilinx.com 25 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation accumulators. In conjunction with the logic unit, the pattern detector can be extended to perform a 48-bit dynamic comparison of two 48-bit fields. This enables functions such as A:B NAND C = = 0, or A:B (bitwise logic) C = = Pattern to be implemented. Figure 2-5 shows the DSP48E1 slice in a very simplified form. The seven OPMODE bits control the selects of X, Y, and Z multiplexers, feeding the inputs to the adder/subtracter or logic unit. In all cases, the 43-bit partial product data from the multiplier to the X and Y multiplexers is sign extended, forming 48-bit input datapaths to the adder/subtracter. Based on 43-bit operands and a 48-bit accumulator output, the number of guard bits (i.e., bits available to guard against overflow) is 5. To extend the number of MACC operations, the MACC_EXTEND feature should be used, which allows the MACC to extend to 96 bits with two DSP48E1 slices. If A port is limited to 18 bits (sign-extended to 25), then there are 12 guard bits for the MACC. The CARRYOUT bits are invalid during multiply operations. Combinations of OPMODE, ALUMODE, CARRYINSEL, and CARRYIN control the function of the adder/subtracter or logic unit. X-Ref Target - Figure 2-5 Figure 2-5: Simplified DSP Slice Operation X Y OPMODE, CARRYINSEL, and ALUMODE Control Behavior X P A:B A B C PCIN All 0s Shifters P Z UG369_c1_05_051209 D + OPMODE Controls Behavior All 1s Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics DSP48E1 Slice Attributes The synthesis attributes for the DSP48E1 slice are described in this section. The attributes call out pipeline registers in the control and datapaths. The value of the attribute sets the number of pipeline registers. See Table 2-3. Table 2-3: Attribute Setting Description Attribute Name Settings (Default) Attribute Description Register Control Attributes ACASCREG 0, 1, 2 (1) In conjunction with AREG, selects the number of A input registers on the A cascade path, ACOUT. This attribute must be equal to or one less than the AREG value: AREG = 0: ACASCREG must be 0 AREG = 1: ACASCREG must be 1 AREG = 2: ACASCREG can be 1 or 2 ADREG 0, 1 (1) Selects the number of AD pipeline registers. ALUMODEREG 0, 1 (1) Selects the number of ALUMODE input registers. AREG 0, 1, 2 (1) Selects the number of A input registers. When 1 is selected, the A2 register is used. BCASCREG 0, 1, 2 (1) In conjunction with BREG, selects the number of B input registers on the B cascade path, BCOUT. This attribute must be equal to or one less than the BREG value: BREG = 0: BCASCREG must be 0 BREG = 1: BCASCREG must be 1 BREG = 2: BCASCREG can be 1 or 2 BREG 0, 1, 2 (1) Selects the number of B input registers. When 1 is selected, the B2 register is used. CARRYINREG 0, 1 (1) Selects the number of fabric CARRYIN input registers. CARRYINSELREG 0, 1 (1) Selects the number of CARRYINSEL input registers. CREG 0, 1 (1) Selects the number of C input registers. DREG 0, 1 (1) Selects the number of D input registers. INMODEREG 0, 1 (1) Selects the number of INMODE input registers. MREG 0, 1 (1) Selects the number of M pipeline registers. OPMODEREG 0, 1 (1) Selects the number of OPMODE input registers. PREG 0, 1 (1) Selects the number of P output registers (also used by CARRYOUT/ PATTERN_DETECT/ CARRYCASCOUT/ MULTSIGNOUT, etc.). Feature Control Attributes A_INPUT DIRECT, CASCADE (DIRECT) Selects the input to the A port between parallel input (DIRECT) or the cascaded input from the previous slice (CASCADE). B_INPUT DIRECT, CASCADE (DIRECT) Selects the input to the B port between parallel input (DIRECT) or the cascaded input from the previous slice (CASCADE). Send Feedback

www.xilinx.com 27 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation USE_DPORT TRUE, FALSE (FALSE) Determines whether the pre-adder and the D Port are used or not. USE_MULT NONE, MULTIPLY, DYNAMIC (MULTIPLY) Selects usage of the multiplier. Set to NONE to save power when using only the Adder/Logic Unit. The DYNAMIC setting indicates that the user is switching between A*B and A:B operations on the fly and therefore needs to get the worst-case timing of the two paths. USE_SIMD ONE48, TWO24,FOUR12 (ONE48) Selects the mode of operation for the adder/subtracter. The attribute setting can be one 48-bit adder mode (ONE48), two 24- bit adder mode (TWO24), or four 12-bit adder mode (FOUR12). Selecting ONE48 mode is compatible with Virtex-6 devices DSP48 operation and is not actually a true SIMD mode. Typical Multiply-Add operations are supported when the mode is set to ONE48. When either TWO24 or FOUR12 mode is selected, the multiplier must not be used, and USE_MULT must be set to NONE. Pattern Detector Attributes AUTORESET_PATDET NO_RESET, RESET_MATCH, RESET_NOT_MATCH (NO_RESET) Automatically resets the P Register (accumulated value or counter value) on the next clock cycle, if a pattern detect event has occurred on this clock cycle. The RESET_MATCH and RESET_NOT_MATCH settings distinguish between whether the DSP48E1 slice should cause an auto reset of the P Register on the next cycle: • if the pattern is matched or • whenever the pattern is not matched on the current cycle but was matched on the previous clock cycle MASK 48-bit field (0011...11) This 48-bit value is used to mask out certain bits during a pattern detection. When a MASK bit is set to 1, the corresponding pattern bit is ignored. When a MASK bit is set to 0, the pattern bit is compared. PATTERN 48-bit field (00...00) This 48-bit value is used in the pattern detector. SEL_MASK MASK, C, ROUNDING_MODE1, ROUNDING_MODE2 (MASK) Selects the mask to be used for the pattern detector. The C and MASK settings are for standard uses of the pattern detector (counter, overflow detection, etc.). ROUNDING_MODE1 (C- bar left shifted by 1) and ROUNDING_MODE2 (C-bar left shifted by 2) select special masks based off of the optionally registered C port. These rounding modes can be used to implement convergent rounding in the DSP48E1 slice using the pattern detector. Table 2-3: Attribute Setting Description (Cont’d) Attribute Name Settings (Default) Attribute Description Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics SEL_PATTERN PATTERN, C (PATTERN) Selects the input source for the pattern field. The input source can either be a 48-bit dynamic “C” input or a 48-bit static attribute field. USE_PATTERN_DETECT NO_PATDET, PATDET (NO_PATDET) Selects whether the pattern detector and related features are used (PATDET) or not used (NO_PATDET). This attribute is used for speed specification and Simulation Model purposes only. Table 2-3: Attribute Setting Description (Cont’d) Attribute Name Settings (Default) Attribute Description Table 2-4: Internal Register Descriptions Register Description and Associated Attribute 2-Deep A Registers These two optional registers for the A input are selected by AREG, enabled by CEA1 and CEA2, respectively, and reset synchronously by RSTA. 2-Deep B Registers These two optional registers for the B input are selected by BREG, enabled by CEB1 and CEB2, respectively, and reset synchronously by RSTB. AD Register This register for the optional pre-adder result is selected by ADREG, enabled by CEAD, and reset synchronously by RSTD. ALUMODE Register This optional pipeline register for the ALUMODE control signal is selected by ALUMODEREG, enabled by CEALUMODE, and reset synchronously by RSTALUMODE. C Register This optional register for the C input is selected by CREG, enabled by CEC, and reset synchronously by RSTC. CARRYIN Register This optional pipeline register for the CARRYIN control signal is selected by CARRYINREG, enabled by CECARRYIN, and reset synchronously by RSTALLCARRYIN. CARRYINSEL Register This optional pipeline register for the CARRYINSEL control signal is selected by CARRYINSELREG, enabled by CECTRL, and reset synchronously by RSTCTRL. D Register This register for the optional D pre-adder input is selected by DREG, enabled by CED, and reset synchronously by RSTD. INMODE Register This 5-bit register selects the pre-adder and its mode, and the sign and the source of the A register feeding the multiplier. This register is selected by INMODEREG, enabled by CEINMODE, and reset synchronously by RSTINMODE. Internal Mult Carry Register This optional pipeline register for the Internal Carry signal (used for Multiply Symmetric Rounding Only) is enabled by CEM and reset synchronously by RSTM. M Register This optional pipeline register for the output of the multiplier consists of two 43-bit partial products. These two partial products are input into the X and Y multiplexers and finally into the adder/subtracter to create the product output. The M register is selected by MREG, enabled by CEM, and reset synchronously by RSTM. Send Feedback

www.xilinx.com 29 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation Input Ports A, B, C, CARRYIN, CARRYINSEL, OPMODE, BCIN, PCIN, ACIN, ALUMODE, CARRYCASCIN, MULTSIGNIN along with the corresponding clock enable inputs and reset inputs, are legacy ports. The D and INMODE ports are unique to the DSP48E1 slice. This section describes the input ports of the DSP48E1 slice in detail. The input ports of the DSP48E1 slice are highlighted in Figure 2-6. A, B, C, and D Ports The DSP48E1 slice input data ports support many common DSP and math algorithms. The DSP48E1 slice has four direct input data ports labeled A, B, C, and D. The A data port is 30 bits wide, the B data port is 18 bits wide, the C data port is 48 bits wide, and the pre- adder D data port is 25 bits wide. OPMODE Register This optional pipeline register for the OPMODE control signal is selected by OPMODEREG, enabled by CECTRL, and reset synchronously by RSTCTRL. Output Registers This optional register for the P, OVERFLOW, UNDERFLOW, PATTERNDETECT, PATTERNDETECT, and CARRYOUT outputs is selected by PREG, enabled by CEP, and reset synchronously by RSTP. The same register also clocks out PCOUT, CARRYCASCOUT, and MULTSIGNOUT, which are the cascade outputs to the next DSP48E1 slice. Table 2-4: Internal Register Descriptions (Cont’d) Register Description and Associated Attribute X-Ref Target - Figure 2-6 Figure 2-6: Input Ports in the DSP48E1 Slice X 17-Bit Shift 17-Bit Shift 0 Y Z 1 0 0 48 48 18 4 48 30 BCIN* ACIN* OPMODE PCIN* MULTSIGNIN* PCOUT* CARRYCASCOUT* MULTSIGNOUT* CARRYCASCIN* CARRYIN CARRYINSEL A:B ALUMODE B A C M P P P C MULT 25 X 18 CREG/C Bypass/Mask PATTERNDETECT PATTERNBDETECT CARRYOUT UG369_c1_06_052109 4 7 48 48 30 18 P P *These signals are dedicated routing paths internal to the DSP48E1 column. They are not accessible via fabric routing resources. 18 3 5 D 25 25 INMODE ACOUT* 18 30 4 30 18 Dual B Register Dual A, D, and Pre-adder 1 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics The 25-bit A (A[24:0]) and 18-bit B ports supply input data to the 25-bit by 18-bit, two’s complement multiplier. With independent C port, each DSP48E1 slice is capable of Multiply-Add, Multiply-Subtract, and Multiply-Round operations. Concatenated A and B ports (A:B) bypass the multiplier and feed the X multiplexer input. The 30-bit A input port forms the upper 30 bits of A:B concatenated datapath, and the 18-bit B input port forms the lower 18 bits of the A:B datapath. The A:B datapath, together with the C input port, enables each DSP48E1 slice to implement a full 48-bit adder/subtracter provided the multiplier is not used, which is achieved by setting USE_MULT to NONE (or DYNAMIC). Each DSP48E1 slice also has two cascaded input datapaths (ACIN and BCIN), providing a cascaded input stream between adjacent DSP48E1 slices. The cascaded path is 30 bits wide for the A input and 18 bits wide for the B input. Applications benefiting from this feature include FIR filters, complex multiplication, multi-precision multiplication and complex MACCs. The A and B input port and the ACIN and BCIN cascade port can have 0, 1, or 2 pipeline stages in its datapath. The dual A, D, and pre-adder port logic is shown in Figure 2-7. The dual B register port logic is shown in Figure 2-8. The different pipestages are set using attributes. Attributes AREG and BREG are used to select the number of pipeline stages for A and B direct inputs. Attributes ACASCREG and BCASCREG select the number of pipeline stages in the ACOUT and BCOUT cascade datapaths. The allowed attribute settings are shown in Table 2-3. Multiplexers controlled by configuration bits select flow through paths, optional registers, or cascaded inputs. The data port registers allow users to typically trade off increased clock frequency (i.e., higher performance) versus data latency. X-Ref Target - Figure 2-7 Figure 2-7: Dual A, D, and Pre-adder Logic +– UG369_c1_07_040914 A D 30 A1 ACIN 25 25 A MULT ACOUT X MUX 30 30 25 25 INMODE[2] INMODE[3] INMODE[0] INMODE[1] D A2 AD CEA1 RSTA CED RSTD CEA2 RSTA CEAD RSTD 0 1 Send Feedback

www.xilinx.com 31 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation Table 2-5 shows the encoding for the INMODE[3:0] control bits. These bits select the functionality of the pre-adder, the A and D input registers. The USE_DPORT attribute must be set to TRUE to enable the pre-adder functions described in Table 2-5. INMODE[4], which selects between B1 and B2, is shown in Table 2-6. In summary, the INMODE and USE_DPORT attributes control the pre-adder functionality and A, B, and D register bus multiplexers that precede the multiplier. If the pre-adder is not used, the default of USE_DPORT is FALSE. X-Ref Target - Figure 2-8 Figure 2-8: Dual B Register Logic Table 2-5: INMODE[3:0] Functions (when AREG = 1 or 2) INMODE[3] INMODE[2] INMODE[1] INMODE[0] USE_DPORT Multiplier A Port 0 0 0 0 FALSE A2 0 0 0 1 FALSE A1 0 0 1 0 FALSE Zero 0 0 1 1 FALSE Zero 0 0 0 0 TRUE A2 0 0 0 1 TRUE A1 0 0 1 0 TRUE Zero 0 0 1 1 TRUE Zero 0 1 0 0 TRUE D + A2(1) 0 1 0 1 TRUE D + A1(1) 0 1 1 0 TRUE D 0 1 1 1 TRUE D 1 0 0 0 TRUE -A2 1 0 0 1 TRUE -A1 1 0 1 0 TRUE Zero 1 0 1 1 TRUE Zero 1 1 0 0 TRUE D – A2(1) 1 1 0 1 TRUE D – A1(1) UG369_c1_08_040914 B 18 B1 BCIN BCOUT X MUX 18 18 18 INMODE[4] B MULT B2 CEB1 RSTB CEB2 RSTB 0 1 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics INMODE[0] selects between A1 (INMODE[0] = 1) and A2 (INMODE[0] = 0). INMODE[1] =1 forces the A input to the pre-adder to 0. INMODE[2] = 0 forces the D input to the pre-adder to 0. INMODE[3] provides pre-adder subtract control, where INMODE[3] = 1 indicates subtract and INMODE[3] = 0 indicates add. INMODE[4] selects the Multiplier B port as shown in Table 2-6. The 48-bit C port is used as a general input to the Y and Z multiplexers to perform add, subtract, three-input add/subtract, and logic functions. The C input is also connected to the pattern detector for rounding function implementations. The C port logic is shown in Figure 2-9. The CREG attribute selects the number of pipestages for the C input datapath. 1 1 1 0 TRUE D 1 1 1 1 TRUE D Notes: 1. Set the data on the D and the A1/A2 ports so the pre-adder, which does not support saturation, does not overflow or underflow. See Pre-adder, page 40. Table 2-6: INMODE[4] Encoding (when BREG = 1 or 2) INMODE[4] Multiplier B Port 0 B2 1 B1 X-Ref Target - Figure 2-9 Figure 2-9: C Port Logic Table 2-5: INMODE[3:0] Functions (when AREG = 1 or 2) (Cont’d) INMODE[3] INMODE[2] INMODE[1] INMODE[0] USE_DPORT Multiplier A Port D EN RST CEC RSTC C C Input to Y and Z Multiplexers and Pattern Detector 48 UG369_c1_09_051209 48 48 Send Feedback

www.xilinx.com 33 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation OPMODE, ALUMODE, and CARRYINSEL Port Logic The OPMODE, ALUMODE, and CARRYINSEL port logic supports flow through or registered input control signals. Multiplexers controlled by configuration bits select flow through or optional registers. The control port registers allow users to trade off increased clock frequency (that is, higher performance) versus data latency. The registers have independent clock enables and resets. The OPMODE and CARRYINSEL registers are reset by RSTCTRL. The ALUMODE is reset by RSTALUMODE. The clock enables and the OPMODE, ALUMODE, and CARRYINSEL port logic are shown in Figure 2-10. X, Y, and Z Multiplexers The OPMODE (Operating Mode) control input contains fields for X, Y, and Z multiplexer selects. The OPMODE input provides a way for you to dynamically change DSP48E1 functionality from clock cycle to clock cycle (for example, altering the internal datapath configuration of the DSP48E1 slice relative to a given calculation sequence). The OPMODE bits can be optionally registered using the OPMODEREG attribute (as noted in Table 2-3). X-Ref Target - Figure 2-10 Figure 2-10: OPMODE, ALUMODE, and CARRYINSEL Port Logic D EN RST CECTRL RSTCTRL OPMODE To the X, Y, Z Multiplexers and 3-Input Adder/Subtracter 7 UG369_c1_10_051209 7 1 D EN RST CEALUMODE RSTALUMODE ALUMODE To Adder/Subtracter 4 4 1 1 D EN RST CARRYINSEL To Carry Input Select Logic 3 3 1 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Table 2-7, Table 2-8, and Table 2-9 list the possible values of OPMODE and the resulting function at the outputs of the three multiplexers (X, Y, and Z multiplexers). The multiplexer outputs supply three operands to the following adder/subtracter. Not all possible combinations for the multiplexer select bits are allowed. Some are marked in the tables as “illegal selection” and give undefined results. If the multiplier output is selected, then both the X and Y multiplexers are used to supply the multiplier partial products to the adder/subtracter. Table 2-7: OPMODE Control Bits Select X Multiplexer Outputs Z OPMODE[6:4] Y OPMODE[3:2] X OPMODE[1:0] X Multiplexer Output Notes xxx xx 00 0 Default xxx 01 01 M Must select with OPMODE[3:2] = 01 xxx xx 10 P Must select with PREG = 1 xxx xx 11 A:B 48 bits wide Table 2-8: OPMODE Control Bits Select Y Multiplexer Outputs Z OPMODE[6:4] Y OPMODE[3:2] X OPMODE[1:0] Y Multiplexer Output Notes xxx 00 xx 0 Default xxx 01 01 M Must select with OPMODE[1:0] = 01 xxx 10 xx 48'FFFFFFFFFFFF Used mainly for logic unit bitwise operations on the X and Z multiplexers xxx 11 xx C Table 2-9: OPMODE Control Bits Select Z Multiplexer Outputs Z OPMODE[6:4] Y OPMODE[3:2] X OPMODE[1:0] Z Multiplexer Output Notes 000 xx xx 0 Default 001 xx xx PCIN 010 xx xx P Must select with PREG = 1 011 xx xx C 100 10 00 P Use for MACC extend only. Must select with PREG = 1 101 xx xx 17-bit Shift (PCIN) 110 xx xx 17-bit Shift (P) Must select with PREG = 1 111 xx xx xx Illegal selection Send Feedback

www.xilinx.com 35 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation ALUMODE Inputs The 4-bit ALUMODE controls the behavior of the second stage add/sub/logic unit. ALUMODE = 0000 selects add operations of the form Z + (X + Y + CIN). CIN is the output of the CARRYIN mux (see Figure 2-11). ALUMODE = 0011 selects subtract operations of the form Z – (X + Y + CIN). ALUMODE = 0001 can implement –Z + (X + Y + CIN) – 1. ALUMODE = 0010 can implement –(Z + X + Y + CIN) – 1, which is equivalent to not (Z + X + Y + CIN). The negative of a two’s complement number is obtained by performing a bitwise inversion and adding one, for example, –k = not (k) + 1. Other subtract and logic operations can also be implemented with the enhanced add/sub/logic unit. See Table 2-10. See Table 2-13, page 42 for two-input ALUMODE operations and Figure A-3, page 56. Table 2-10: Three-Input ALUMODE Operations DSP Operation OPMODE[6:0] ALUMODE[3:0] 3 2 1 0 Z + X + Y + CIN Any legal OPMODE 0 0 0 0 Z – (X + Y + CIN) Any legal OPMODE 0 0 1 1 –Z + (X + Y + CIN) – 1 = not (Z) + X + Y + CIN Any legal OPMODE 0 0 0 1 not (Z + X + Y + CIN) = –Z – X – Y – CIN - 1 Any legal OPMODE 0 0 1 0 Notes: 1. In two’s complement: –Z = not (Z) + 1 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Carry Input Logic In 7 series devices, the carry input logic result is a function of a 3-bit CARRYINSEL signal. The inputs to the carry input logic appear in Figure 2-11. Carry inputs used to form results for adders and subtracters are always in the critical path. High performance is achieved by implementing this logic in silicon. The possible carry inputs to the carry logic are “gathered” prior to the outputs of the X, Y, and Z multiplexers. In 7 series devices, CARRYIN has no dependency on the OPMODE selection. Figure 2-11 shows eight inputs selected by the 3-bit CARRYINSEL control. The first input, CARRYIN (CARRYINSEL set to binary 000), is driven from general logic. This option allows implementation of a carry function based on user logic. CARRYIN can be optionally registered. The next input, (CARRYINSEL is equal to binary 010) is the CARRYCASCIN input from an adjacent DSP48E1 slice. The third input (CARRYINSEL is equal to binary 100) is the CARRYCASCOUT from the same DSP48E1 slice, fed back to itself. Refer to Table 2-4 for internal register definitions pertaining to carry logic. The fourth input (CARRYINSEL is equal to binary 110) is A[24] XNOR B[17] for symmetrically rounding multiplier outputs. This signal can be optionally registered to match the MREG pipeline delay. The fifth and sixth inputs (CARRYINSEL is equal to binary 111 and 101) selects the true or inverted P output MSB P[47] for symmetrically rounding the P output. The seventh and eight inputs (CARRYINSEL is equal to binary 011 and 001) selects the true or inverted cascaded P input MSB PCIN[47] for symmetrically rounding the cascaded P input. Table 2-11 lists the possible values of the three carry input select bits (CARRYINSEL) and the resulting carry inputs or sources. X-Ref Target - Figure 2-11 Figure 2-11: CARRYINSEL Port Logic RST CE D RSTALLCARRYIN CECARRYIN CARRYCASCIN Fabric CARRYIN Large Add/Sub/Acc (Parallel Op) Large Add/Sub/Acc (Seq Op) UG369_c1_11_051209 000 010 100 110 111 101 011 001 CARRYCASCOUT A[24] XNOR B[17] Inverted P[47] Inverted PCIN[47] 3 RST CE D RSTALLCARRYIN CEM Round A * B Round Output CARRYINSEL CIN Send Feedback

www.xilinx.com 37 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation Output Ports This section describes the output ports of the 7 series FPGA DSP48E1 slice in detail. The output ports of the DSP48E1 slice are shown in Figure 2-12. Table 2-11: CARRYINSEL Control Carry Source CARRYINSEL Select Notes 2 1 0 0 0 0 CARRYIN General interconnect 0 0 1 ~PCIN[47] Rounding PCIN (round towards infinity) 0 1 0 CARRYCASCIN Larger add/sub/acc (parallel operation) 0 1 1 PCIN[47] Rounding PCIN (round towards zero) 1 0 0 CARRYCASCOUT For larger add/sub/acc (sequential operation via internal feedback). Must select with PREG = 1 1 0 1 ~P[47] Rounding P (round towards infinity). Must select with PREG = 1 1 1 0 A[24] XNOR B[17] Rounding A x B 1 1 1 P[47] For rounding P (round towards zero). Must select with PREG = 1 X-Ref Target - Figure 2-12 Figure 2-12: Output Ports in the DSP48E1 Slice X 17-Bit Shift 17-Bit Shift 0 Y Z 1 0 0 48 48 18 4 3 48 30 BCIN* ACIN* OPMODE PCIN* MULTSIGNIN* PCOUT* CARRYCASCOUT* MULTSIGNOUT* CREG/C Bypass/Mask CARRYCASCIN* CARRYIN CARRYINSEL A:B ALUMODE B A C M P P P C MULT 25 X 18 PATTERNDETECT PATTERNBDETECT CARRYOUT UG369_c1_12_052109 4 7 48 48 30 18 P P *These signals are dedicated routing paths internal to the DSP48E1 column. They are not accessible via fabric routing resources. 5 D 25 25 INMODE BCOUT* ACOUT* 18 30 4 30 18 Dual B Register Dual A, D, and Pre-adder 1 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics All the output ports except ACOUT and BCOUT are reset by RSTP and enabled by CEP (see Figure 2-13). ACOUT and BCOUT are reset by RSTA and RSTB, respectively (shown in Figure 2-7 and Figure 2-8). P Port Each DSP48E1 slice has a 48-bit output port P. This output can be connected (cascaded connection) to the adjacent DSP48E1 slice internally through the PCOUT path. The PCOUT connects to the input of the Z multiplexer (PCIN) in the adjacent DSP48E1 slice. This path provides an output cascade stream between adjacent DSP48E1 slices. CARRYCASCOUT and CARRYOUT Ports The carry out from each DSP48E1 slice can be sent to the FPGA logic using the CARRYOUT port. This port is 4 bits wide. CARRYOUT[3] is the valid carry output for a two-input 48-bit adder/subtracter or one-input accumulator. In this case, USE_SIMD = ONE48 is the default setting and represents a non-SIMD configuration. When a two-input adder/subtracter or one-input accumulator is used in SIMD mode, such as TWO24 or FOUR12, the valid CARRYOUT signals are listed in Table 2-12. The CARRYOUT signals are not valid if three-input adder/subtracter (for example, A:B + C + PCIN) or two-input accumulator (for example, A:B + C + P) configurations are used or if the multiplier is used. See also Table 2-10, page 35 for 3-input ALUMODE operations. The CARRYOUT signal is cascaded to the next adjacent DSP48E1 slice using the CARRYCASCOUT port. Larger add, subtract, ACC, and MACC functions can be implemented in the DSP48E1 slice using the CARRYCASCOUT output port. The 1-bit CARRYCASCOUT signal corresponds to CARRYOUT[3], but is not identical. The X-Ref Target - Figure 2-13 Figure 2-13: Output Port Logic D EN Q RST CEP RSTP P/PCOUT/MULTSIGNOUT/ CARRYCASCOUT/ CARRYOUT/ PATTERNDETECT/ PATTERNBDETECT DSP48E1 Slice Output UG369_c1_13_051209 Table 2-12: CARRYOUT Bit Associated with Different SIMD Mode SIMD Mode Adder Bit Width Corresponding CARRYOUT FOUR12 P[11:0] CARRYOUT[0] P[23:12] CARRYOUT[1] P[35:24] CARRYOUT[2] P[47:36] CARRYOUT[3] TWO24 P[23:0] CARRYOUT[1] P[47:24] CARRYOUT[3] ONE48 P[47:0] CARRYOUT[3] Send Feedback

www.xilinx.com 39 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation CARRYCASCOUT signal is also fed back into the same DSP48E1 slice via the CARRYINSEL multiplexer. The CARRYOUT[3] signal should be ignored when the multiplier or a ternary add/subtract operation is used. Because a MACC operation includes a three-input adder in the accumulator stage, the combination of MULTSIGNOUT and CARRYCASCOUT signals is required to perform a 96-bit MACC, spanning two DSP48E1 slices. The second DSP48E1 slice OPMODE must be MACC_EXTEND (1001000) to use both CARRYCASCOUT and MULTSIGNOUT, thereby eliminating the ternary adder carry restriction for the upper DSP48E1 slice. The actual hardware implementation of CARRYOUT/CARRYCASCOUT and the differences between them are described in Appendix A, CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT. MULTSIGNOUT Port Logic MULTSIGNOUT is a software abstraction of the hardware signal. It is modeled as the MSB of the multiplier output and used only in MACC extension applications to build a 96-bit MACC. The actual hardware implementation of MULTSIGNOUT is described in Appendix A, CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT. The MSB of a multiplier output is cascaded to the next DSP48E1 slice using the MULTSIGNIN port and can be used only in MACC extension applications to build a 96-bit accumulator. The actual hardware implementation of MULTSIGNOUT is described in Appendix A, CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT. PATTERNDETECT and PATTERNBDETECT Port Logic A pattern detector has been added on the output of the DSP48E1 slice to detect if the P bus matches a specified pattern or if it exactly matches the complement of the pattern. The PATTERNDETECT (PD) output goes High if the output of the adder matches a set pattern. The PATTERNBDETECT (PBD) output goes High if the output of the adder matches the complement of the set pattern. A mask field can also be used to hide certain bit locations in the pattern detector. PATTERNDETECT computes ((P == pattern)||mask) on a bitwise basis and then ANDs the results to a single output bit. Similarly, PATTERNBDETECT can detect if ((P == ~pattern)||mask). The pattern and the mask fields can each come from a distinct 48-bit configuration field or from the (registered) C input. When the C input is used as the PATTERN, the OPMODE should be set to select a 0 at the input of the Z multiplexer. If all the registers are reset, PATTERNDETECT is High for one clock cycle immediately after the RESET is deasserted. The pattern detector allows the DSP48E1 slice to support convergent rounding and counter auto reset when a count value has been reached as well as support overflow, underflow, and saturation in accumulators. Overflow and Underflow Port Logic The dedicated OVERFLOW and UNDERFLOW outputs of the DSP48E1 slice use the pattern detector to determine if the operation in the DSP48E1 slice has overflowed beyond the P[N] bit where N is between 1 and 46. The P register must be enabled while using overflow and underflow ports. This is further described in the Embedded Functions section. Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Embedded Functions The embedded functions in 7 series devices include a 25 x 18 multiplier, adder/subtracter/logic unit, and pattern detector logic (see Figure 2-14). Pre-adder The 7 series FPGA DSP slice has a 25-bit pre-adder, which is inserted in the A register path (shown in Figure 2-14 with an expanded view in Figure 2-7, page 30). With the pre-adder, pre-additions or pre-subtractions are possible prior to feeding the multiplier. Since the pre- adder does not contain saturation logic, designers should limit input operands to 24-bit two’s complement sign-extended data to avoid overflow or underflow during arithmetic operations. Optionally, the pre-adder can be bypassed, making D the new input path to the multiplier. When the D path is not used, the output of the A pipeline can be negated prior to driving the multiplier. There are up to 10 operating modes, making this pre-adder block very flexible. In Equation 2-2, A and D are added initially through the pre-adder/subtracter. The result of the pre-adder is then multiplied against B, with the result of the multiplication being added to the C input. This equation facilitates efficient symmetric filters. Equation 2-2 X-Ref Target - Figure 2-14 Figure 2-14: Embedded Functions in a DSP48E1 Slice X 17-Bit Shift 17-Bit Shift 0 Y Z 1 0 0 48 48 18 4 3 48 30 BCIN* ACIN* OPMODE PCIN* MULTSIGNIN* PCOUT* CARRYCASCOUT* MULTSIGNOUT* CREG/C Bypass/Mask CARRYCASCIN* CARRYIN CARRYINSEL A:B ALUMODE B A C M P P P C MULT 25 X 18 PATTERNDETECT PATTERNBDETECT CARRYOUT UG369_c1_14_052109 4 7 48 48 30 18 P P *These signals are dedicated routing paths internal to the DSP48E1 column. They are not accessible via fabric routing resources. 5 D 25 25 INMODE ACOUT* 18 30 4 30 18 Dual B Register Dual A, D, and Pre-adder 1 Adder/Subtracter Output C B D A ± ( ) × CIN + ( ) ± = Send Feedback

www.xilinx.com 41 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation Two’s Complement Multiplier The two’s complement multiplier in the DSP48E1 slice in Figure 2-14 accepts a 25-bit two’s complement input and an 18-bit two’s complement input. The multiplier produces two 43-bit partial products. The two partial products together give an 86-bit result at the output of the multiplier, as shown in Figure 2-15. Cascading of multipliers to achieve larger products is supported with a 17-bit, right-shifted, cascaded output bus. The right shift is used to right justify the partial products by the correct number of bits. This cascade path feeds into the Z multiplexer, which is connected to the adder/subtracter of an adjacent DSP48E1 slice. The multiplier can emulate unsigned math by setting the MSB of an input operand to zero. Figure 2-15 shows an optional pipeline register (MREG) for the output of the multiplier. Using the register provides increased performance with an increase of one clock latency. Adder/Subtracter or Logic Unit The adder/subtracter or logic unit output is a function of control and data inputs (see Figure 2-16). The data inputs to the adder/subtracter are selected by the OPMODE and the CARRYINSEL signals. The ALUMODE signals choose the function implemented in the adder/subtracter. Thus, the OPMODE, ALUMODE, and CARRYINSEL signals together determine the functionality of the embedded adder/subtracter/logic unit. When using the logic unit, the multiplier must not be used. The values of OPMODEREG and CARRYINSELREG must be identical. As with the input multiplexers, the OPMODE bits specify a portion of this function. The symbol ± in the table means either add or subtract and is specified by the state of the ALUMODE control signal. The symbol “:” in the table means concatenation. The outputs of the X and Y multiplexer and CIN are always added together. Refer to ALUMODE Inputs, page 35. Two-Input Logic Unit In 7 series devices, the capability to perform an addition, subtraction, and simple logic functions in the DSP48E1 slice exists through use of a second-stage, three-input adder. Table 2-13 lists the logic functions that can be implemented in the second stage of the three input adder/subtracter/logic unit. The table also lists the settings of the control signals, namely OPMODE and ALUMODE. Setting OPMODE[3:2] to “00” selects the default “0” value at the Y multiplexer output. OPMODE[3:2] set to “10” selects “all 1s” at the Y multiplexer output. OPMODE[1:0] selects the output of the X multiplexer, and OPMODE[6:4] selects the output of the Z multiplexer. X-Ref Target - Figure 2-15 Figure 2-15: Two’s Complement Multiplier Followed by Optional MREG X A or AD Partial Product 1 Partial Product 2 B Optional MREG UG369_c1_15_051209 86 43 43 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Single Instruction, Multiple Data (SIMD) Mode The 48-bit adder/subtracter/accumulator can be split into smaller data segments where the internal carry propagation between segments is blocked to ensure independent operation for all segments. The adder/subtracter/accumulator can be split into four 12-bit adder/subtracter/accumulators or two 24-bit adder/subtracter/accumulators with carry out signal per segment. The SIMD mode segmentation is a static configuration as opposed to dynamic OPMODE type control (see Figure 2-16). Table 2-13: OPMODE and ALUMODE Control Bits Select Logic Unit Outputs Logic Unit Mode OPMODE[3:2] ALUMODE[3:0] 3 2 3 2 1 0 X XOR Z 0 0 0 1 0 0 X XNOR Z 0 0 0 1 0 1 X XNOR Z 0 0 0 1 1 0 X XOR Z 0 0 0 1 1 1 X AND Z 0 0 1 1 0 0 X AND (NOT Z) 0 0 1 1 0 1 X NAND Z 0 0 1 1 1 0 (NOT X) OR Z 0 0 1 1 1 1 X XNOR Z 1 0 0 1 0 0 X XOR Z 1 0 0 1 0 1 X XOR Z 1 0 0 1 1 0 X XNOR Z 1 0 0 1 1 1 X OR Z 1 0 1 1 0 0 X OR (NOT Z) 1 0 1 1 0 1 X NOR Z 1 0 1 1 1 0 (NOT X) AND Z 1 0 1 1 1 1 Send Feedback

www.xilinx.com 43 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation • Four segments of dual or ternary adders with 12-bit inputs, a 12-bit output, and a carry output for each segment • Function controlled dynamically by ALUMODE[3:0], and operand source by OPMODE[6:0] • All four adder/subtracter/accumulators perform same function • Two segments of dual or ternary adders with 24-bit inputs, a 24-bit output, and a carry output for each segment is also available (not pictured). The SIMD feature, shown in Figure 2-16, allows the 48-bit logic unit to be split into multiple smaller logic units. Each smaller logic unit performs the same function. This function can also be changed dynamically through the ALUMODE[3:0] and opmode control inputs. Pattern Detect Logic The pattern detector is connected to the output of the add/subtract/logic unit in the DSP48E1 slice (see Figure 2-14). The pattern detector is best described as an equality check on the output of the adder/subtracter/logic unit that produces its result on the same cycle as the P output. There is no extra latency between the pattern detect output and the P output of the DSP48E1 slice. The use of the pattern detector leads to a moderate speed reduction due to the extra logic on the pattern detect path (see Figure 2-17). X-Ref Target - Figure 2-16 Figure 2-16: Four 12-Bit SIMD Adder Configuration X 0 P ALUMODE[3:0] P[11:0], CARRYOUT[0] P[23:12], CARRYOUT[1] P[35:24], CARRYOUT[2] P[47:36], CARRYOUT[3] [47:0] [47:0] [47:36] [35:24] [23:12] [11:0] UG369_c1_16_051209 0 1 PCIN P C Z Y A:B C 0 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics Some of the applications that can be implemented using the pattern detector are: • Pattern detect with optional mask • Dynamic C input pattern match with A x B • Overflow/underflow/saturation past P[46] • A:B == C and dynamic pattern match, for example, A:B OR C == 0, A:B AND C == 1 • A:B {function} C == 0 • 48-bit counter auto reset (terminal count detection) • Detecting mid points for rounding operations If the pattern detector is not being employed, it can be used for other creative design implementations. These include: • Duplicating a pin (for example, the sign bit) to reduce fanout and thus increase speed. • Implementing a built-in inverter on one bit (for example, the sign bit) without having to route out to the fabric. • Checking for sticky bits in floating point, handling special cases, or monitoring the DSP48E1 slice outputs. • Raising a flag if a certain condition is met or if a certain condition is no longer met. A mask field can also be used to mask out certain bit locations in the pattern detector. The pattern field and the mask field can each come from a distinct 48-bit memory cell field or from the (registered) C input. X-Ref Target - Figure 2-17 Figure 2-17: Pattern Detector Logic C (Register) PATTERN P UG369_c1_17_051209 C (Register) MASK C Shift by 2, 00 (Mode 2) C Shift by 1, 0 (Mode 1) SEL_MASK PATTERN MASK = 48’b00000000... = 48’b00111111... SEL_MASK SEL_PATTERN PATTERNBDETECTPAST(1) PATTERNBDETECT PATTERNDETECT Notes: 1. Denotes an internal signal. P PATTERNDETECTPAST(1) Send Feedback

www.xilinx.com 45 UG479 (v1.10) March 27, 2018 Simplified DSP48E1 Slice Operation Overflow and Underflow Logic The discussion of overflow and underflow below applies to sequential accumulators (MACC or Adder-Accumulator) implemented in a single DSP48E1 slice. The accumulator should have at least one guard bit. When the pattern detector is set to detect a pattern equal to 00000…0 with a mask of 0011111 …1 (default settings), the DSP48E1 slice flags overflow beyond 00111 … 1 or underflow beyond 11000… 0. The USE_PATTERN_DETECT attribute is set to PATDET to enable the use of the pattern detect logic. This overflow/underflow implementation uses a redundant sign bit and reduces the output bit width to 47 bits. By setting the mask to other values like 0000111 …1, the bit value P[N] at which overflow is detected can be changed. This logic supports saturation to a positive number of 2N – 1 and a negative number of 2N in two’s complement where N is the number of 1s in the mask field. To check overflow/underflow condition for N = 2, the following example is used: • Mask is set to 0...11. • The (N) LSB bits are not considered for the comparison. • For N = 2, the legal values (patterns) are 22-1 to –22 or 3 to –4. See Figure 2-19 and Figure 2-20 for overflow and underflow examples, respectively. X-Ref Target - Figure 2-18 Figure 2-18: Overflow/Underflow Logic in Pattern Detect X-Ref Target - Figure 2-19 Figure 2-19: Overflow Condition in the Pattern Detector PATTERNBDETECTPAST(1) PATTERNBDETECT PATTERNDETECT Notes: 1. Denotes an internal signal. Underflow PATTERNDETECTPAST(1) PATTTERNBDETECT PATTTERNDETECT Overflow UG369_c1_18_051209 PATTERN MASK = 48’b00000000... = 48’b00111111... x x x x x 0 .. 0000 0 .. 0001 0 .. 0010 0 .. 0011 0 .. 0100 PD Caused by Overflow UG369_c1_19_051209 High to Low Overflow Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 2: DSP48E1 Description and Specifics • PD is 1 if P == pattern or mask • PBD is a 1 if P == patternb or mask Overflow is caused by addition when the value at the output of the adder/subtracter/logic unit goes over 3. Adding 1 to the final value of 0..0011 gives 0..0100 as the result, which causes the PD output to go to 0. When the PD output goes from 1 to 0, an overflow is flagged. Underflow is caused by subtraction when the value goes below –4. Subtracting 1 from 1..1100 yields 1..1010 (–5), which causes the PBD output to go to 0. When the PBD output goes from 1 to 0, an underflow is flagged. X-Ref Target - Figure 2-20 Figure 2-20: Underflow Condition in the Pattern Detector x x x x 1 .. 1111 1 .. 1110 1 .. 1101 1 .. 1100 1 .. 1010 PBD Caused by Underflow UG369_c1_20_051209 High to Low Underflow 0 .. 0000 Send Feedback

www.xilinx.com 47 UG479 (v1.10) March 27, 2018 Chapter 3 DSP48E1 Design Considerations This chapter describes some design features and techniques to use to achieve higher performance, lower power, and lower resources in a particular design. This chapter contains the following sections: • Designing for Performance • Designing for Power • Adder Tree Versus Adder Cascade • Connecting DSP48E1 Slices across Columns • Time Multiplexing the DSP48E1 Slice • Miscellaneous Notes and Suggestions • Pre-Adder Block Applications Designing for Performance To achieve maximum performance when using the DSP48E1 slice, the design needs to be fully pipelined. For multiplier-based designs, the DSP48E1 slice requires a three-stage pipeline. For non-multiplier-based designs, a two-stage pipeline should be used. Also see the 7 series FPGA data sheets [Ref 6]. If latency is important in the design and only one or two registers can be used within the DSP48E1 slice, always use the M register. Designing for Power The USE_MULT attribute selects usage of the multiplier. This attribute should be set to NONE to save power when using only the Adder/Logic Unit. Functions implemented in the DSP48E1 slice use less power than those implemented in fabric. Using the cascade paths within the DSP48E1 slice instead of fabric routing is another way to reduce power. A multiplier with the M register turned on uses less power than one where the M register is not used. For operands less than 25 x 18, fabric power can be reduced by placing operands into the MSBs and zero padding unused LSBs. Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 3: DSP48E1 Design Considerations Adder Tree Versus Adder Cascade Adder Tree In typical direct form FIR filters, an input stream of samples is presented to one input of the multipliers in the DSP48E1 slices. The coefficients supply the other input to the multipliers. An adder tree is used to combine the outputs from many multipliers as shown in Figure 3-1. X-Ref Target - Figure 3-1 Figure 3-1: Traditional FIR Filter Adder Tree 48 48 y(n-6) 18 18 48 48 × + + 18 18 18 18 18 18 h0(n) X(n) h1(n) 48 48 18 18 48 48 × + × 18 18 × 18 18 18 18 h2(n) X(n) h3(n) h4(n) X(n-2) X(n-4) h5(n) h6(n) h7(n) + + Z-2 Z-2 Z-2 × × × × + The final stages of the post addition in logic are the performance bottleneck that consume more power. UG479_c2_01_072210 + Send Feedback

www.xilinx.com 49 UG479 (v1.10) March 27, 2018 Adder Tree Versus Adder Cascade In traditional FPGAs, the fabric adders are usually the performance bottleneck. The number of adders needed and the associated routing depends on the size of the filter. The depth of the adder tree scales as the log2 of the number of taps in the filter. Using the adder tree structure shown in Figure 3-1 could also increase the cost, logic resources, and power. The 7 series FPGA CLB allows the use of both the 6LUT and the carry chain in the same slice to build an efficient ternary adder. The 6LUT in the CLB functions as a dual 5LUT. The 5LUT is used as a 3:2 compressor to add three input values to produce two output values. The 3:2 compressor is shown in Figure 3-2. The dual 5LUT configured as a 3:2 compressor in combination with the 2-input carry cascade adder adds three N-bit numbers to produce one N+2 bit output, as shown in the Figure 3-3, by vertically stacking the required number of slices. X-Ref Target - Figure 3-2 Figure 3-2: Ternary Add/Sub with 3:2 Compressor X(1) Y(1) Z(1) BBUS(0) SUB/ ADDB BBUS(0) SUB/ ADDB SUB/ ADDB AX A5 A2 A3 A4 IN5 0 0 1 O6A CY(0) CY(1) GND O5A 1 VDD IN6 IN2 D AQ AMUX SUM(0) BBUS(0) Q CK IN3 IN4 X(0) Y(0) Z(0) BX B5 B2 B3 B4 IN5 B1 IN1 0 0 1 O6B O5B 1 VDD IN6 IN2 D BQ BMUX SUM(1) BBUS(1) Q CK IN3 IN4 ABUS(1) ABUS(0) UG479_c2_02_072210 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 3: DSP48E1 Design Considerations The 3:1 adder shown in Figure 3-3 is used as a building block for larger adder trees. Depending on the number of inputs to be added, a 5:3 or a 6:3 compressor is also built in fabric logic using multiple 5LUTs or 6LUTs. The serial combination of 6:3 compressor, along with two DSP48E1 slices, adds six operands together to produce one output, as shown in Figure 3-4. The LSB bits of the first DSP48E1 slice that are left open due to left shift of the Y and Z buses should be tied to zero. The last DSP48E1 slice uses 2-deep A:B input registers to align (pipeline matching) the X bus to the output of the first DSP48E1 slice. Multiple levels of 6:3 compressors can be used to expand the number of input buses. The logic equations for the X, Y, and Z buses in Figure 3-4 are listed here: X(n) = A(n) XOR B(n) XOR C(n) XOR D(n) XOR E(n) XOR F(n) Equation 3-1 Equation 3-2 Equation 3-3 The compressor elements and cascade adder can be arranged like a tree to build larger adders. The last add stage should be implemented in the DSP48E1 slice. Pipeline registers should be added as needed to meet timing requirements of the design. These adders can have higher area and/or power than the adder cascade. Adder Cascade The adder cascade implementation accomplishes the post addition process with minimal silicon resources by using the cascade path within the DSP48E1 slice. This involves computing the additive result incrementally, utilizing a cascaded approach as illustrated in Figure 3-5. X-Ref Target - Figure 3-3 Figure 3-3: Three-Input Adder X-Ref Target - Figure 3-4 Figure 3-4: Six-Input Adder A C 3:2 Compressor ABUS BBUS SUM 48 2-Input Cascade Adder UG479_c2_03_072210 B Left Shift By 1 46 46 46 A F 6:3 Compressor Left Shift By 2 Left Shift By 1 X Y Z SUM 48 DSP48E1 Slice UG479_c2_04_072210 DSP48E1 Slice 45 45 Y(n) = A(n)B(n) XOR A(n)C(n) XOR A(n)D(n) XOR A(n)E(n) XOR A(n)F(n) XOR B(n)C(n) XOR B(n)D(n) XOR B(n)E(n) XOR B(n)F(n) XOR C(n)D(n) XOR C(n)E(n) XOR C(n)F(n) XOR D(n)E(n) XOR D(n)F(n) XOR E(n)F(n) Z(n) = A(n)B(n)C(n)D(n) OR A(n)B(n)C(n)E(n) OR A(n)B(n)C(n)F(n) OR A(n)B(n)D(n)E(n) OR A(n)B(n)D(n)F(n) OR A(n)B(n)E(n)F(n) OR A(n)C(n)D(n)E(n) OR A(n)C(n)D(n)F(n) OR A(n)C(n)E(n)F(n) OR A(n)D(n)E(n)F(n) OR B(n)C(n)D(n)E(n) OR B(n)C(n)D(n)F(n) OR B(n)C(n)E(n)F(n) OR B(n)D(n)E(n)F(n) OR C(n)D(n)E(n)F(n) Send Feedback

www.xilinx.com 51 UG479 (v1.10) March 27, 2018 Adder Tree Versus Adder Cascade It is important to balance the delay of the input sample and the coefficients in the cascaded adder to achieve the correct results. The coefficients are staggered in time (wave coefficients). X-Ref Target - Figure 3-5 Figure 3-5: Adder Cascade Slice 7 No Wire Shift Slice 8 Slice 6 Slice 5 48 48 48 18 18 48 48 48 48 × × + × 18 18 18 18 × 18 18 48 Y(n–10) h0(n) X(n) h1(n-1) Slice 3 No Wire Shift Slice 4 Slice 2 Slice 1 Zero 48 48 48 18 18 48 48 48 48 × × × 18 18 18 18 × 18 18 h2(n-2) h3(n-3) h4(n-4) h5(n-5) h6(n-6) h7(n-7) No Wire Shift No Wire Shift No Wire Shift No Wire Shift 48 No Wire Shift The post adders are contained entirely in dedicated silicon for highest performance and lowest power. + + + + + + + Sign Extended from 36 Bits to 48 Bits UG479_c2_05_072210 Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 3: DSP48E1 Design Considerations Connecting DSP48E1 Slices across Columns Using the cascade paths to implement adders significantly improves power consumption and speed. The maximum number of cascades in a path is limited only by the total number of DSP48E1 slices in one column in the chip. The height of the DSP column can differ between the Virtex-5, Virtex-6, and 7 series devices and should be considered while porting designs between the devices. Spanning columns is possible by taking P bus output from the top of one DSP column and adding fabric pipeline registers to route this bus to the C port of the bottom DSP48E1 slice of the adjacent DSP column. Alignment of input operands is also necessary to span multiple DSP columns. Time Multiplexing the DSP48E1 Slice The high-speed math elements in the DSP48E1 slice enable designers to use time multiplexing in their DSP designs. Time multiplexing is the process of implementing more than one function within a single DSP48E1 slice at different instances of time. Time multiplexing can be done for designs with low sample rates. The calculation to determine the number of functions (N) that can be implemented in one single DSP48E1 slice is shown in Equation 3-4: N * channel frequency ≤maximum frequency of the DSP48E1 slice Equation 3-4 These time-multiplexed DSP designs have optional pipelining that permits aggregate multichannel sample rates of up to 500 million samples per second. Implementing a time-multiplexed design using the DSP48E1 slice results in reduced resource utilization and reduced power. The DSP48E1 slice contains the basic elements of classic FIR filters: a multiplier followed by an adder, delay or pipeline registers, and the ability to cascade an input stream (B bus) and an output stream (P bus) without exiting to a general slice fabric. Multichannel filtering can be viewed as time-multiplexed, single-channel filters. In a typical multichannel filtering scenario, multiple input channels are filtered using a separate digital filter for each channel. Due to the high performance of the DSP48E1 slice within the 7 series device, a single digital filter can be used to filter all eight input channels by clocking the single filter with an 8x clock. This implementation uses 1/8th of the total FPGA resource as compared to implementing each channel separately. Miscellaneous Notes and Suggestions • Small multiplies (for example, 4 x 4 multiplies) and small bit width adders and counters should be implemented using the interconnect logic LUTs and carry chain. If you have a large number of small add operations and/or counters, you should take advantage of the SIMD mode and implement the operation in the DSP48E1 slice. Factor of 2x area and power savings occur, when compared to using interconnect logic, whenever input registers are also folded into the DSP48E1 slice for SIMD mode functions. • Always sign extend the input operands when implementing smaller bit width functions. For lower fabric power, push operands into MSBs and ground (GND) LSBs. • While cascading different DSP48E1 slices, the pipestages of the different signal paths should be matched. Send Feedback

www.xilinx.com 53 UG479 (v1.10) March 27, 2018 DSP48E1 Design Resources • A count-up-by-one counter should be implemented within the DSP48E1 slice using the CARRYIN input. A count-by-N or variable-bit counter can use the C or A:B inputs. • DSP48E1 counters can be used to implement control logic that runs at maximum speed. • SRL16s/SRL32s in the CLB and block RAM should be used to store filter coefficients or act as a register file or memory elements in conjunction with the DSP48E1 slice. The bit pitch of the input bits (4 bits per interconnect) is designed to pitch match the CLB and block RAM. • The block RAM can also be used as a fast, finite state machine to drive the control logic for the DSP design. • The DSP48E1 slice can also be used in conjunction with a processor, for example, MicroBlaze™ or PicoBlaze™ processors, for hardware acceleration of processor functions. • A pipeline register should be used at the output of an SRL16 or block RAM before connecting it to the input of the DSP48E1 slice. This ensures the best performance of input operands feeding the DSP48E1 slice. • In 7 series devices, the register at the output of the SRL16 in the slice has a reset pin and a clock-enable pin. To reset the SRL16, a zero is input into the SRL16 for 16 clock cycles while holding the reset of the output register High. This capability is particularly useful in implementing filters where the SRL16s are used to store the data inputs. DSP48E1 Design Resources Refer to the XST Hardware Description Language (HDL) Coding Techniques chapter in the XST User Guide for Virtex-6, Spartan-6, and 7 Series Devices [Ref 3], which includes VHDL and Verilog inference coding templates for various DSP filters and DSP functions. Pre-Adder Block Applications DSP48E1 slice users can benefit from the pre-adder in several applications ranging from wireless applications (for example, in algorithms as in the Long-Term Evolution specification), in generic filtering (FIR and IIR), in video processing (for example, alpha blending), and many others. Figure 3-6 illustrates how the pre-adder (shaded in gray) can be used in an 8-tap even symmetric systolic FIR design. Send Feedback

UG479 (v1.10) March 27, 2018 Chapter 3: DSP48E1 Design Considerations Memory-Mapped I/O Register Application To use DSP48E1 slices as memory-mapped I/O registers, you must broadcast the write data bus feeding to all the DSP48E1 slices to be used in this fashion. To have random read access, a wide multiplexer is needed. Additional DSP48E1 slices can be configured as a wide bus multiplexer to help reduce routing congestion. An address decoder should be implemented in fabric logic to control individual PREG CEs to load the appropriate DSP output register from the write data bus. X-Ref Target - Figure 3-6 Figure 3-6: 8-Tap Even Symmetric Systolic FIR DSP Slice DSP Slice DSP Slice DSP Slice UG479_c2_06_072210 z-2 z-8 (SRL16) x(n) h0 h1 h2 h3 y(n-8) z-1 z-1 + Duplicate Tap Delay x + z-1 z-1 z-1 z-2 z-1 z-1 + x + z-1 z-1 z-1 z-2 z-1 z-1 + x + z-1 z-1 z-1 z-2 z-1 z-1 + x + z-1 z-1 z-1 Send Feedback

www.xilinx.com 55 UG479 (v1.10) March 27, 2018 Appendix A CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT CARRYOUT/CARRYCASCOUT The DSP48E1 slice and the fabric carry chain use a different implementation style for subtract functions. The carry chain implementation in the CLB slices requires the fabric carry input pin to be connected to a constant 1 during subtract operations. The standard subtract operation with ALUMODE = 0011 in the DSP48E1 slice does not require the CARRYIN pin to be set to 1. In two’s complement notation, negative values are obtained by performing a bitwise inversion and adding one, for example, –B = ((not B) + 1). The CLB implements A-B as (A + (not B) + 1), as shown in Figure A-1. An alternate implementation of a two-input subtracter is [not (B + (not A))], as shown in Figure A-2. The alternate implementation allows the carry inputs to the adder/subtracter to still be available for normal use. X-Ref Target - Figure A-1 Figure A-1: FPGA Logic Interconnect Based Adder/Subtracter + A B 0 Carry Input A + B UG369_A_01_111208 0 1 + A B Sub/Add = 1/0 (Carry input must be 1 for a subtract operation, so it is not available for other uses.) A ± B 0 1 Send Feedback

UG479 (v1.10) March 27, 2018 Appendix A: CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT The DSP48E1 slice uses the second implementation extended to 3-input adders with a CARRYIN input as shown in Figure A-3. This allows DSP48E1 SIMD operations to perform subtract operations without a CARRYIN for each smaller add/subtract unit. Virtex-6 and 7 series FPGA ALUMODE supports additional subtract operations: ALUMODE = 0001 implements (-Z + (X + Y + CIN) – 1). • For most uses, CIN is set to 1 to cancel out the -1. ALUMODE = 0010 actually implements -(Z + X + Y + CIN) – 1. • This inversion of the P output obtained by using ALUMODE 0010 can be cascaded to another slice to implement a two’s complement subtract. For add operations, CARRYOUT[3] and CARRYCASCOUT are identical, but the convention used to indicate a borrow (for subtract operations) is different. CARRYOUT[3] matches the convention for fabric subtractions. The matched convention allows a fabric add-sub function to use the CARRYOUT[3] pin directly to extend two-input DSP48E1 slice subtract operations in the fabric. The CARRYCASCOUT, however, follows the subtract convention of DSP slices and is, therefore, ideal for cascading up vertically to another DSP slice. These CARRYOUT[3] and CARRYCASCOUT signals enable the construction of higher precision add/sub functions using multiple DSP48E1 slices or using a hybrid approach with both a DSP48E1 slice and a fabric adder/subtracter. X-Ref Target - Figure A-2 Figure A-2: Adder/Subtracter with Optional Carry Inputs X-Ref Target - Figure A-3 Figure A-3: DSP48E1 Slice Three-Input Adder UG369_A_02_111208 + B A Sub/add Opt. carry input (Carryin available as an input even for subtract operations) A +/– (B + optional carry input) 0 1 0 1 UG369_A_03_111208 + Y X Z ALUMODE[0] CIN ALUMODE[1] DSP48E1 Slice Add/Subtract 0 1 0 1 Send Feedback

www.xilinx.com 57 UG479 (v1.10) March 27, 2018 MULTSIGNOUT and CARRYCASCOUT MULTSIGNOUT and CARRYCASCOUT CARRYOUT[3] should not be used for multiply operations because the first stage multiplier generates two partial products, which are added together in the second stage of the DSP48E1 slice. All DSP three-input add operations (including Multiply-Add and Multiply Accumulate) produce two CARRYOUT bits for retaining full precision. This is shown in Figure A-4. MULTSIGNOUT and CARRYCASCOUT serve as the two carry bits for MACC_EXTEND operations. If MULTSIGNOUT is the multiplier sign bit and CARRYCASCOUT is the cascaded carryout bit, the result is the software/UNISIM model abstraction, shown in Figure A-4. MULTSIGNOUT and CARRYCASCOUT in the simulation model do not match the hardware, but the output P bits do match for supported functions, such as MACC_EXTEND. For example, routing CARRYCASCOUT to the FPGA logic by using all zeros in the upper DSP slice does not match the CARRYOUT[3] of the lower DSP slice. Similarly, MULTSIGNOUT routed out to fabric is not actually the sign of the multiply result. These MULTSIGNOUT and CARRYCASCOUT signals enable the construction of higher precision multiply-accumulate (MACC_EXTEND) functions, such as a 25x18 multiply accumulated for up to 96 bits of accumulator precision and running at the maximum DSP48E1 slice frequency. It is also necessary to set the OPMODEREG and CARRYINSELREG to 1 when building large accumulators such as the 96-bit Multiply Accumulate. This prevents the simulation model from propagating unknowns to the upper DSP48E1 slice when a reset occurs. Summary Adder/Subtracter-only Operation CARRYOUT[3]: Hardware and software match. CARRYCASCOUT: Hardware and software match when ALUMODE = 0000 and inverted when ALUMODE = 0011. The mismatch happens because the DSP48E1 slice performs the subtract operation using a different algorithm from the FPGA logic; thus, the DSP48E1 slice requires an inverted CARRYOUT from the FPGA logic. MULTSIGNOUT is invalid in adder-only operation. X-Ref Target - Figure A-4 Figure A-4: DSP48E1 Three-Input Adder UG369_aA_04_051509 + Y X Z P[47:0] CIN One Bit Carry Out to Fabric CARRYOUT[3] Two CARRYOUT bits are produced in the hardware and are labeled as MULTSIGNOUT and CARRYCASCOUT in the simulation model. Send Feedback

UG479 (v1.10) March 27, 2018 Appendix A: CARRYOUT, CARRYCASCOUT, and MULTSIGNOUT MACC Operation CARRYOUT[3] is invalid in the MACC operation. CARRYCASCOUT and MULTSIGNOUT: Hardware and software do not match due to modeling difference. The software simulation model is an abstraction of the hardware model. The software views of CARRYCASCOUT and MULTSIGNOUT enable higher-precision MACC functions to be built in the UNISIM model. They are not logically equivalent to hardware CARRYCASCOUT and MULTSIGNOUT. Only the hardware and software results (P output) are logically equivalent. The internal signals (CARRYCASCOUT and MULTSIGNOUT) are not. See Figure A-5. X-Ref Target - Figure A-5 Figure A-5: MACC Software and Hardware Models UG369_A_05_111208 + A B Partial products from the multiply operation are added together in the second stage ternary adder. CARRYCASCOUT MULTSIGNOUT x Hardware Implementation Software Model + A B CARRYIN Zmux (e.g., C, P, PCIN) CARRYCASCOUT MULTSIGNOUT x CARRYIN Zmux (e.g., C, P, PCIN) P[47:0] P[47:0] Send Feedback