Computer Arithmetic: Algorithms and Hardware Designs / Edition 1

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Overview


Ideal for graduate and senior undergraduate level courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs provides a balanced, comprehensive treatment of computer arithmetic, covering topics in arithmetic unit design and circuit implementation that complement the architectural and algorithmic speedup techniques used in high-performance computer architecture and parallel processing. Using a unified and consistent framework, the text begins with number representation and proceeds through basic arithmetic operations, floating-point arithmetic, and function evaluation methods. Later chapters cover broad design and implementation topics--including techniques for high-throughput, low-power, and fault-tolerant arithmetic--and also feature brief case studies.
An indispensable resource for instruction, professional development, and research in digital computer arithmetic, Computer Arithmetic: Algorithms and Hardware Designs combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples, and a large collection of meaningful problems.

Features:
· Divided into 28 lecture-size chapters
· Emphasizes both the underlying theories of computer arithmetic and actual hardware designs
· Carefully links computer arithmetic to other subfields of computer engineering
· Includes over 450 end-of-chapter problems ranging in complexity from simple exercises to mini-projects
· Incorporates many examples of practical designs
· Uses consistent standardized notation throughout
· Instructor's manual includes solutions to text problems, additional exercises, test questions, and enlarged versions of figures and charts

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Product Details

  • ISBN-13: 9780195125832
  • Publisher: Oxford University Press, USA
  • Publication date: 9/28/1999
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 512
  • Product dimensions: 9.30 (w) x 7.30 (h) x 1.00 (d)

Meet the Author

University of California, Santa Barbara
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Table of Contents

Preface
Pt. I Number Representation
1 Numbers and Arithmetic 3
2 Representing Signed Numbers 19
3 Redundant Number Systems 35
4 Residue Number Systems 54
Pt. II Addition/Subtraction
5 Basic Addition and Counting 75
6 Carry-Lookahead Adders 91
7 Variations in Fast Adders 108
8 Multioperand Addition 125
Pt. III Multiplication
9 Basic Multiplication Schemes 143
10 High-Radix Multipliers 157
11 Tree and Array Multipliers 172
12 Variations in Multipliers 191
Pt. IV Division
13 Basic Division Schemes 211
14 High-Radix Dividers 228
15 Variations in Dividers 246
16 Division by Convergence 261
Pt. V Real Arithmetic
17 Floating-Point Representations 279
18 Floating-Point Operations 297
19 Errors and Error Control 313
20 Precise and Certifiable Arithmetic 328
Pt. VI Function Evaluation
21 Square-Rooting Methods 345
22 The CORDIC Algorithms 361
23 Variations in Function Evaluation 378
24 Arithmetic by Table Lookup 394
Pt. VII Implementation Topics
25 High-Throughput Arithmetic 413
26 Low-Power Arithmetic 430
27 Fault-Tolerant Arithmetic 447
28 Past, Present, and Future 464
Index 479
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