Chapter 1 Introduction -- Chapter 2 Number Formats -- Chapter 3 Computing Just Right: Accuracy Specification and Error Analysis -- Chapter 4 Field Programmable Gate Arrays -- Part 1 Revisiting Classic Arithmetic -- Chapter 5 Fixed-Point Addition -- Chapter 6 Fixed-Point Comparison -- Chapter 7 Sums of Weighted Bits -- Chapter 8 Fixed-Point Multiplication -- Chapter 9 Fixed-Point Division -- Chapter 10 Shifters and Leading Bit Counters -- Chapter 11 Basic Floating-Point Operators -- Part 2 Operator Specialization -- Chapter 12 Multiplication by Constants -- Chapter 13 Division by Constants -- Chapter 14 Fixed-Point Squares, Cubes, and Other Integer Powers -- Chapter 15 Specialization and Fusion of Floating-Point Operators -- Part 3 Generic Methods for Fixed-Point Function Approximation -- Chapter 16 Generalities on Fixed-Point Function Approximation -- Chapter 17 Function Evaluation Using Tables and Additions -- Chapter 18 Polynomial-Based Architectures for Function Evaluation -- Chapter 19 Digit Recurrence for Algebraic Functions -- Part 4 Example Composite Operators -- Chapter 20 Fixed-Point Sine and Cosine -- Chapter 21 Floating-Point Accumulation and Sum-of-Products -- Chapter 22 Floating-Point Exponential -- Part 5 Application Domains -- Chapter 23 Arithmetic in The Design of Linear Time-Invariant Filters -- Chapter 24 Arithmetic for Deep Learning -- Part 6 Appendix -- Chapter 25 Appendix A Custom Arithmetic Datapath Design with FloPoCo -- Chapter 26 Appendix B Optimization Using Integer Linear Programming.

Written by two experts of the domain, this book presents the most recent advances in computer arithmetic hardware, with a focus on application-specific arithmetic beyond the classic operators and the standard precisions. It targets silicon designers who have to do better with less in the post-Moore era, and FPGA developers who want to exploit the full possibilities of reconfigurable computing platforms. Presents a unique focus on application-specific computer arithmetic; Helps developers gain a deep understanding of the arithmetic in their projects, and tailor it to their application; Illustrates concepts and architectures by actual implementations, using the FloPoCo open-source hardware generator.