"Computer Arithmetic: Principles, Architectures, and VLSI Design"

R. Zimmermann

Contents
--------

Introduction and Conventions
    Outline
    Motivation
    Conventions
    Recursive Function Evaluation

Arithmetic Operations
    Overview
    Implementation Techniques

Number Representations
    Binary Number Systems (BNS)
    Gray Numbers
    Redundant Number Systems
    Residue Number Systems (RNS)
    Floating-Point Numbers
    Logarithmic Number System
    Antitetrational Number System
    Composite Arithmetic
    Round-Off Schemes

Addition
    Overview
    1-Bit Adders, (m,k)-Counters
    Carry-Propagate Adders (CPA)
    Carry-Save Adder (CSA)
    Multi-Operand Adders
    Sequential Adders

Simple / Addition-Based Operations
    Complement and Subtraction
    Increment / Decrement
    Counting
    Comparison, Coding, Detection
    Shift, Extension, Saturation
    Addition Flags
    Arithmetic Logic Unit (ALU)

Multiplication
    Multiplication Basics
    Unsigned Array Multiplier
    Signed Array Multipliers
    Booth Recoding
    Wallace Tree Addition
    Multiplier Implementations
    Composition from Smaller Multipliers
    Squaring

Division / Square Root Extraction
    Division Basics
    Restoring Division
    Non-Restoring Division
    Signed Division
    SRT Division
    High-Radix Division
    Division by Multiplication
    Remainder / Modulus
    Divider Implementations
    Square Root Extraction

Elementary Functions
    Algorithms
    Integer Exponentiation
    Integer Logarithm

VLSI Design Aspects
    Design Levels
    Synthesis
    VHDL
    Performance
    Testability

Bibliography