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Finite Precision Rational Arithmetic: Slash Number Systems
January 1985 (vol. 34 no. 1)
pp. 3-18
D.W. Matula, Department of Computer Science and Engineering, Southern Methodist University
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.
Index Terms:
underflow-to-overflow range, Exact bit, finite precision, fixed-slash format, floating-slash format, fractions, hierarchical precision, number systems, precision-of-approximation, range/precision tradeoff, rounding
Citation:
D.W. Matula, P. Kornerup, "Finite Precision Rational Arithmetic: Slash Number Systems," IEEE Transactions on Computers, vol. 34, no. 1, pp. 3-18, Jan. 1985, doi:10.1109/TC.1985.1676511
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