Finite Precision Rational Arithmetic: Slash Number Systems
- 1 January 1985
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Computers
- Vol. C-34 (1) , 3-18
- https://doi.org/10.1109/tc.1985.1676511
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
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