"Computer Arithmetic: Principles, Architectures, and VLSI Design"
R. Zimmermann
Contents
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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