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
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;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1985.1676511
