Arithmetic and Logic in Computer Systems / Edition 1

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Overview

Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples.

No other current books deal with this subject, and the author is a leading authority in the field of computer arithmetic. The text introduces the Conventional Radix Number System and the Signed-Digit Number System, as well as Residue Number System and Logarithmic Number System. This book serves as an essential, up-to-date guide for students of electrical engineering and computer and mathematical sciences, as well as practicing engineers and computer scientists involved in the design, application, and development of computer arithmetic units.

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Editorial Reviews

From the Publisher
"...the perfect concise reference for computer arithmetic, and I highly recommended it to anyone involved in the study or implementation of such systems." (Computing Reviews.com, June 7, 2005)

"This comprehensive treatment of computer arithmetic is ideally suited for upper-level undergraduate or graduate students." (Computing Reviews.com, May 12, 2004)

"Lu has prepared one of the best books this reviewer has read….An Excellent book for graduate and senior undergraduate engineering and computer science students.” (Choice, July 2004)

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Product Details

Meet the Author

Mi Lu received her MS and PhD in electrical engineering from Rice University, Houston. She joined the Department of Electrical Engineering at Texas A&M University in 1987 and is currently a professor. Her research interests include computer arithmetic, parallel computing, parallel computer architectures, VLSI algorithms, and computer networks. She has published over one hundred technical papers, and has served as associate editor of the Journal of Computing and Information and the Information Sciences Journal. She was conference chairperson of the Fifth, Sixth, and Seventh International Conferences on Computer Science and Informatics. She served on the panel of the National Science Foundation, the panel of the IEEE Workshop on Imprecise and Approximate Computation, and many conference program committees. She is the chairperson of sixty research advisory committees for masters and doctoral students. Dr. Lu is a registered professional engineer and a senior member of the IEEE. She has been recognized in Who’s Who in America.
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Table of Contents

Preface
List of Figures
List of Tables
About the Author
1 Computer Number Systems 1
2 Addition and Subtraction 29
3 High-Speed Adder 53
4 Sequential Multiplication 77
5 Parallel Multiplication 103
6 Sequential Division 135
7 Fast Array Dividers 167
8 Floating Point Operations 183
9 Residue Number Operations 199
10 Operations through Logarithms 221
11 Signed-Digit Number Operations 235
Index 245
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