Finite Precision Number Systems and Arithmetic

Hardcover | 30 September 2010

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Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms.

Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings.

Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.

About the Authors

Peter Kornerup is a Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, Odense.

David W. Matula is Professor of Computer Science at Southern Methodist University, Dallas.

Industry Reviews

'For researchers and more mathematically oriented readers, this book is a treasure trove of algorithms difficult or impossible to find elsewhere.' Mathematical Reviews

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Preface
Radix polynomial representations
Base and digit set conversion
Addition
Multiplication
Division
Square root
Floating point number systems
Modular arithmetic and residue number systems
Rational arithmetic
Author index
Index
Table of Contents provided by Publisher. All Rights Reserved.

Finite Precision Number Systems and Arithmetic

Industry Reviews

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