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Computer Arithmetic: Algorithms and Hardware Designs

Computer Arithmetic: Algorithms and Hardware Designs

Authors
Publisher Oxford University Press Inc
Year 28/10/2009
Pages 672
Version hardback
Readership level General/trade
Language English
ISBN 9780195328486
Categories Computing: general
Delivery to United States

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Book description

Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, provides a balanced, comprehensive treatment of computer arithmetic. It covers 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, fault-tolerant, and reconfigurable arithmetic. An appendix provides a historical view of the field and speculates on its future.
An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, 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. This second edition includes a new chapter on reconfigurable arithmetic, in order to address the fact that arithmetic functions are increasingly being implemented on field-programmable gate arrays (FPGAs) and FPGA-like configurable devices. Updated and thoroughly revised, the book offers new and expanded coverage of saturating adders and multipliers, truncated multipliers, fused multiply-add units, overlapped quotient digit selection, bipartite and multipartite tables, reversible logic, dot notation, modular arithmetic, Montgomery modular reduction, division by constants, IEEE floating-point standard formats, and interval arithmetic.
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 717 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 * An author-maintained website http://www.ece.ucsb.edu/~parhami/text comp arit.htm contains instructor resources, including complete lecture slides

Computer Arithmetic: Algorithms and Hardware Designs

Table of contents

Table of Contents

Preface

Part I: NUMBER REPRESENTATION

1. Numbers and Arithmetic

2. Representing Signed Numbers

3. Redundant Number Systems

4. Residue Number Systems

Part II: ADDITION/SUBTRACTION

5. Basic Addition and Counting

6. Carry - Lookahead Adders

7. Variations in Fast Adders

8. Multioperand Addition

Part III: MULTIPLICATION

9. Basic Multiplication Schemes

10. High - Radix Multipliers

11. Tree and Array Multipliers

12. Variations in Multipliers

Part IV: DIVISION

13. Basic Division Schemes

14. High - Radix Dividers

15. Variations in Dividers

16. Division by Convergence

PART V: REAL ARITHMETIC

17. Floating - Point Representations

18. Floating - Point Operations

19. Errors and Error Control

20. Precise and Certifiable Arithmetic

PART VI: FUNCTION EVALUATION

21. Square - Rooting Methods

22. The CORDIC Algorithms

23. Variations in Function Evaluation

24. Arithmetic by Table Lookup

25. High - Throughput Arithmetic

PART VII: IMPLEMENTATION TOPICS

26. Low - Power Arithmetic

27. Fault - Tolerant Arithmetic

28. Reconfigurable Arithmetic

APPENDIX: PAST, PRESENT, AND FUTURE

A.1 Historical Perspective

A.2 Early High - Performance Machine

A.3 Deeply Pipelined Vector Machines

A.4 The DSP Revolution

A.5 Supercomputers on Our Laps

A.6 Trends Outlook and Resources

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