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

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Abstract

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.

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Authors and Affiliations

  1. Dept. of Computer Science, The University of Tennessee, 37916, Knoxville, Tennessee, USA

    Robert Todd Gregory

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  1. Robert Todd Gregory
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Gregory, R.T. The use of finite-segmentp-adic arithmetic for exact computation. BIT 18, 282–300 (1978). https://doi.org/10.1007/BF01930898

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  • DOI: https://doi.org/10.1007/BF01930898

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