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    Arithmetic and Logic in Computer Systems (Wiley-Interscience Publication) (Hardback) By (author) Mi Lu

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    DescriptionArithmetic 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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  • Full bibliographic data for Arithmetic and Logic in Computer Systems

    Title
    Arithmetic and Logic in Computer Systems
    Authors and contributors
    By (author) Mi Lu
    Physical properties
    Format: Hardback
    Number of pages: 246
    Width: 158 mm
    Height: 236 mm
    Thickness: 25 mm
    Weight: 567 g
    Language
    English
    ISBN
    ISBN 13: 9780471469452
    ISBN 10: 0471469459
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    B&T Modifier: Region of Publication: 01
    BIC subject category V2: PB
    Warengruppen-Systematik des deutschen Buchhandels: 16200
    B&T Modifier: Academic Level: 02
    B&T Modifier: Text Format: 06, 01
    BISAC V2.8: TEC007000
    BIC subject category V2: UYA
    LC subject heading:
    B&T Merchandise Category: COM
    Ingram Subject Code: XG
    Libri: I-XG
    BISAC V2.8: COM000000
    LC subject heading:
    BISAC V2.8: MAT000000
    DC22: 004.0151
    B&T General Subject: 231
    LC classification: QA76.9.A43
    LC subject heading:
    DC22: 004/.01/51
    BISAC V2.8: COM037000
    LC subject heading: ,
    LC classification: QA76.9.C62 L8 2004
    LC subject heading:
    Thema V1.0: PB, THR, UYQM, UYA
    Publisher
    John Wiley and Sons Ltd
    Imprint name
    John Wiley & Sons Inc
    Publication date
    25 February 2004
    Publication City/Country
    New York
    Author Information
    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.
    Review quote
    "...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)
    Back cover copy
    A practical introduction to fundamentals of computer arithmeticComputer arithmetic is one of the foundations of computer science and engineering. Designed as both a practical reference for engineers and computer scientists and an introductory text for students of electrical engineering and the computer and mathematical sciences, Arithmetic and Logic in Computer Systems describes the various algorithms and implementations in computer arithmetic and explains the fundamental principles that guide them. Focusing on promoting an understanding of the concepts, Professor Mi Lu addresses: Number representations, including the Conventional Radix and Signed-Digit Number Systems as well as Floating Point, Residue, and Logarithmic Number SystemsRipple Carry Adders and high-speed addersSequential multiplication, parallel multiplication, sequential division, and fast array dividersFloating point operations, Residue Number operations, and operations through logarithmsTo assist the reader, alternative methods are examined and thorough explanations of the material are supplied, along with discussions of the reasoning behind the theory. Ample examples and problems help the reader master the concepts.
    Table of contents
    Preface. List of Figures. List of Tables. About the Author. 1. Computer Number Systems. 1.1 Conventional Radix Number System. 1.2 Conversion of Radix Numbers. 1.3 Representation of Signed Numbers. 1.3.1 Sign-Magnitude. 1.3.2 Diminished Radix Complement. 1.3.3 Radix Complement. 1.4. Signed-Digit Number System. 1.5 Floating-Point Number Representation. 1.5.1 Normalization. 1.5.2 Bias. 1.6 Residue Number System. 1.7 Logarithmic Number System. References. Problems. 2. Addition and Subtraction. 2.1 Single-Bit Adders. 2.1.1 Logical Devices. 2.1.2 Single-Bit Half-Adder and Full-Adders. 2.2 Negation. 2.2.1 Negation in One's Complement System. 2.2.2 Negation in Two's Complement System. 2.3 Subtraction through Addition. 2.4 Overflow. 2.5 Ripple Carry Adders. 2.5.1 Two's Complement Addition. 2.5.2 One's Complement Addition. 2.5.3 Sign-Magnitude Addition. References. Problems. 3. High-Speed Adder. 3.1 Conditional-Sum Addition. 3.2 Carry-Completion Sensing Addition. 3.3 Carry-Lookahead Addition (CLA). 3.3.1 Carry-Lookahead Adder. 3.3.2 Block Carry Lookahead Adder. 3.4 Carry-Save Adders (CSA). 3.5 Bit-Partitioned Multiple Addition. References. Problems. 4. Sequential Multiplication. 4.1 Add-and-Shift Approach. 4.2 Indirect Multiplication Schemes. 4.2.1 Unsigned Number Multiplication. 4.2.2 Sign-Magnitude Number Multiplication. 4.2.3 One's Complement Number Multiplication. 4.2.4 Two's Complement Number Multiplication. 4.3 Robertson's Signed Number Multiplication. 4.4 Recoding Technique. 4.4.1 Non-overlapped Multiple Bit Scanning. 4.4.2 Overlapped Multiple Bit Scanning. 4.4.3 Booth's Algorithm. 4.4.4 Canonical Multiplier Recoding. References. Problems. 5. Parallel Multiplication. 5.1 Wallace Trees. 5.2 Unsigned Array Multiplier. 5.3 Two's Complement Array Multiplier. 5.3.1 Baugh-Wooley Two's Complement Multiplier. 5.3.2 Pezaris Two's Complement Multipliers. 5.4 Modular Structure of Large Multiplier. 5.4.1 Modular Structure. 5.4.2 Additive Multiply Modules. 5.4.3 Programmable Multiply Modules. References. Problems. 6. Sequential Division. 6.1 Subtract-and-Shift Approach. 6.2 Binary Restoring Division. 6.3 Binary Non-Restoring Division. 6.4 High-Radix Division. 6.4.1 High-Radix Non-Restoring Division. 6.4.2 SRT Division. 6.4.3 Modified SRT Division. 6.4.4 Robertson's High-Radix Division. 6.5 Convergence Division. 6.5.1 Convergence Division Methodologies. 6.5.2 Divider Implementing Convergence Division Algorithm. 6.6 Division by Divisor Reciprocation. References. Problems. 7. Fast Array Dividers. 7.1 Restoring Cellular Array Divider. 7.2 Non-Restoring Cellular Array Divider. 7.3 Carry-Lookahead Cellular Array Divider. References. Problems. 8. Floating Point Operations. 8.1 Floating Point Addition/Subtraction. 8.2 Floating Point Multiplication. 8.3 Floating Point Division. 8.4 Rounding. 8.5 Extra Bits. References. Problems. 9. Residue Number Operations. 9.1 RNS Addition, Subtraction and Multiplication. 9.2 Number Comparison and Overflow Detection. 9.2.1 Unsigned Number Comparison. 9.2.2 Overflow Detection. 9.2.3 Signed Numbers and Their Properties. 9.2.4 Multiplicative Inverse and the Parity Table. 9.3 Division Algorithm. 9.3.1 Unsigned Number Division. 9.3.2 Signed Number Division. 9.3.3 Multiplicative Division Algorithm. References. Problems. 10. Operations through Logarithms. 10.1 Multiplication and Addition in Logarithmic Systems. 10.2 Addition and Subtraction in Logarithmic Systems. 10.3 Realizing the Approximation. References. Problems. 11. Signed-Digit Number Operations. 11.1 Characteristics of SD Numbers. 11.2 Totally Parallel Addition/Subtraction. 11.3 Required and Allowed Values. 11.4 Multiplication and Division. References. Problems. Index.