DocumentCode
1151100
Title
Finite Precision Rational Arithmetic: Slash Number Systems
Author
Matula, David W. ; Kornerup, Peter
Author_Institution
Department of Computer Science and Engineering, Southern Methodist University
Issue
1
fYear
1985
Firstpage
3
Lastpage
18
Abstract
Fraction number systems characterized by fixed-slash and floating-slash formats are specified. The structure of arithmetic over such systems is prescribed by the rounding obtained from "best rational approximation." Multitiered precision hierarchies of both the fixed-slash and floating-slash type are described and analyzed with regards to their support of both exact rational and approximate real computation.
Keywords
Exact bit; finite precision; fixed-slash format; floating-slash format; fractions; hierarchical precision; number systems; precision-of-approximation; range/precision tradeoff; rounding; underflow-to-overflow range; Application software; Computer languages; Computer science; Floating-point arithmetic; H infinity control; Terminology; Exact bit; finite precision; fixed-slash format; floating-slash format; fractions; hierarchical precision; number systems; precision-of-approximation; range/precision tradeoff; rounding; underflow-to-overflow range;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/TC.1985.1676511
Filename
1676511
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