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Finite Precision Rational Arithmetic: Slash Number Systems

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2 Author(s)
Matula, D.W. ; Department of Computer Science and Engineering, Southern Methodist University ; Kornerup, P.

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.

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Computers, IEEE Transactions on  (Volume:C-34 ,  Issue: 1 )