Finite Precision Rational Arithmetic: Slash Number Systems

Authors

  • David W. Matula
  • Peter Kornerup

DOI:

https://doi.org/10.7146/dpb.v12i166.7440

Abstract

Fraction number systems described 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''.

Multi-tiered precision hierarchies of both fixed-slash and floating-slash type are proposed and analyzed with regards to their support of both exact rational and approximative real computation.

Author Biographies

David W. Matula

Peter Kornerup

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Published

1983-10-01

How to Cite

Matula, D. W., & Kornerup, P. (1983). Finite Precision Rational Arithmetic: Slash Number Systems. DAIMI Report Series, 12(166). https://doi.org/10.7146/dpb.v12i166.7440

Issue

No. 166 (1983): PB-166 Finite Precision Rational Arithmetic: Slash Number Systems

Section

Articles

License

Creative Commons License

Articles published in DAIMI PB are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.