TY  - BOOK
AU  - Kornerup,Peter
AU  - Matula,David W.
TI  - Finite precision number systems and arithmetic
T2  - Encyclopedia of mathematics and its applications
SN  - 9780511778568 (ebook)
AV  - QA248 .K627 2010
U1  - 513 22
PY  - 2010///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Arithmetic
KW  - Foundations
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Preface; 1. Radix polynomial representations; 2. Base and digit set conversion; 3. Addition; 4. Multiplication; 5. Division; 6. Square root; 7. Floating point number systems; 8. Modular arithmetic and residue number systems; 9. Rational arithmetic; Author index; Index
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511778568
ER  -