Guide to FPGA Implementation of Arithmetic Functions

This book is designed both for FPGA users interested in developing new, specific components - generally for reducing execution times –and IP core designers interested in extending their catalog of specific components.  The main focus is circuit synthesis and the discussion shows, for example, how a given algorithm executing some complex function can be translated to a synthesizable circuit description, as well as which are the best choices the designer can make to reduce the circuit cost, latency, or power consumption.  This is not a book on algorithms.  It is a book that shows how to translate efficiently an algorithm to a circuit, using techniques such as parallelism, pipeline, loop unrolling, and others.  Numerous examples of FPGA implementation are described throughout this book and the circuits are modeled in VHDL. Complete and synthesizable source files are available for download.

Basic Building Blocks.- Architecture of Digital Circuits.- Special Topics of Data Path Synthesis.- Control Unit Synthesis.- Electronic Aspects of Digital Design.- Electronic Aspects of Digital Design.- EDA Tools.- Adders.- Multipliers.- Dividers.- Other Operations.- Floating Point Arithmetic.- Finite-field Arithmetic.- Systems on Chip.- Embedded Systems Development: Case Studies.- Partial Reconfiguration on Xilinx FPGAs.