Issue No. 01 - January (1985 vol. 34)
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.
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
D. Matula and P. Kornerup, "Finite Precision Rational Arithmetic: Slash Number Systems," in IEEE Transactions on Computers, vol. 34, no. , pp. 3-18, 1985.