1st Edition

Computer Arithmetic and Verilog HDL Fundamentals

By Joseph Cavanagh Copyright 2010
972 Pages 750 B/W Illustrations
by CRC Press

971 Pages 750 B/W Illustrations
by CRC Press

Verilog Hardware Description Language (HDL) is the state-of-the-art method for designing digital and computer systems. Ideally suited to describe both combinational and clocked sequential arithmetic circuits, Verilog facilitates a clear relationship between the language syntax and the physical hardware. It provides a very easy-to-learn and practical means to model a digital system at many levels... Read more

Chapter 1 Number Systems and Number Representations

Number Systems

Number Representations

 

Chapter 2 Logic Design Fundamentals

Boolean Algebra

Minimization Techniques

Combinational Logic

Sequential Logic

 

Chapter 3 Introduction to Verilog HDL

Built-In Primitives

User-Defined Primitives

Dataflow Modeling

Behavioral Modeling

Structural Modeling

 

Chapter 4 Fixed-Point Addition

Ripple-Carry Addition

Carry Lookahead Addition

Carry-Save Addition

Memory-Based Addition

Carry-Select Addition

Serial Addition

 

Chapter 5 Fixed-Point Subtraction

Twos Complement Subtraction

Ripple-Carry Subtraction

Carry Lookahead Addition/Subtraction

Behavioral Addition/Subtraction

 

Chapter 6 Fixed-Point Multiplication

Sequential Add-Shift Multiplication

Booth Algorithm Multiplication

Bit-Pair Recoding Multiplication

Array Multiplication

Table Lookup Multiplication

Memory-Based Multiplication

Multiple-Operand Multiplication

 

Chapter 7 Fixed-Point Division

Sequential Shift-Add/Subtract Restoring Division

Sequential Shift-Add/Subtract Nonrestoring Division

SRT Division

Multiplicative Division

Array Division

 

Chapter 8 Decimal Addition

Addition With Sum Correction

Addition Using Multiplexers

Addition With Memory-Based Correction

Addition With Biased Augend

 

Chapter 9 Decimal Subtraction

Subtraction Examples

Two-Decade Addition/Subtraction Unit for A+B and A–B

Two-Decade Addition/Subtraction Unit for A+B, A–B, and B–A

 

Chapter 10 Decimal Multiplication

Binary-to-BCD Conversion

Multiplication Using Behavioral Modeling

Multiplication Using Structural Modeling

Multiplication Using Memory

Multiplication Using Table Lookup

 

Chapter 11 Decimal Division

Restoring Division — Version 1

Restoring Division — Version 2

Division Using Table Lookup

 

Chapter 12 Floating-Point Addition

Floating-Point Format

Biased Exponents

Floating-Point Addition

Overflow and Underflow

General Floating-Point Organization

Verilog HDL Implementation

 

Chapter 13 Floating-Point Subtraction

Numerical Examples

Flowcharts

Verilog HDL Implementations

 

Chapter 14 Floating-Point Multiplication

Double Bias

Flowcharts

Numerical Examples

Verilog HDL Implementations

 

Chapter 15 Floating-Point Division

Zero Bias

Exponent Overflow/Underflow

Flowcharts

Numerical Examples

 

Chapter 16 Additional Floating-Point Topics

Rounding Methods

Guard Bits

Verilog HDL Implementations

 

Chapter 17 Additional Topics in Computer Arithmetic

Residue Checking

Parity-Checked Shift Register

Parity Prediction

Condition Codes for Addition

Logical and Algebraic Shifters

Arithmetic and Logic Units

Count-Down Counter

Shift Registers

 

Appendices

 

Index

Biography

Joseph Cavanagh is an adjunct professor in the computer engineering department at Santa Clara University in California.

"Cavanagh has provided readers with a very large work on the topics of addition, subtraction, multiplication, and division. … The student who completes a course based on this work will have achieved a great deal. Summing Up: Recommended."
CHOICE, June 2010