BIT Numerical Mathematics

, Volume 18, Issue 3, pp 282–300 | Cite as

The use of finite-segmentp-adic arithmetic for exact computation

  • Robert Todd Gregory


A finite number system for doing exact computer arithmetic, due to Krishnamurthy, Rao, and Subramanian, is described. For each rational numbera/b, with |a| and |b| suitably bounded, the firstr digits of the (infinite)p-adic expansion ofa/b are used as a coded representation fora/b (the Hensel code). Arithmetic operations on the Hensel codes produce Hensel codes for the exact results of the arithmetic operations.


Computational Mathematic Finite Number Exact Result Arithmetic Operation Number System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© BIT Foundations 1978

Authors and Affiliations

  • Robert Todd Gregory
    • 1
  1. 1.Dept. of Computer ScienceThe University of TennesseeKnoxvilleUSA

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