Finite Precision Number Systems and Arithmetic
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- Peter Kornerup, University of Southern Denmark
- David W. Matula, Southern Methodist University, Dallas
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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.Read more
- Will appeal to any scientist wishing to understand the hardware used for practical number crunching
- Provides a solid theoretical foundation for the subject of practical (finite precision) computation
- A comprehensive reference for specialists and suitable for graduate teaching
Reviews & endorsements
"For researchers and more mathematically oriented readers, this book is a treasure trove of algorithms difficult or impossible to find elsewhere. For engineers and researchers interested in tomorrow's technology, this one, written by highly respected experts in the field, is the book to have one one's bookshelf."
Frederic Goualard, Mathematical Reviews
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- Date Published: June 2013
- format: Adobe eBook Reader
- isbn: 9781139632706
- contains: 155 b/w illus. 70 tables 240 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Radix polynomial representations
2. Base and digit set conversion
6. Square root
7. Floating point number systems
8. Modular arithmetic and residue number systems
9. Rational arithmetic
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