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Implementing Exact Calculations in Hardware | IEEE Journals & Magazine | IEEE Xplore

Implementing Exact Calculations in Hardware


Abstract:

A technique for performing exact calculations it discussed. The technique uses single-modulus P arithmetic to perform calculations over the finite field of integers and t...Show More

Abstract:

A technique for performing exact calculations it discussed. The technique uses single-modulus P arithmetic to perform calculations over the finite field of integers and the finite ring of integers. It is shown that the arithmetic operations modulo P (which obviously can be impleinented in microprocessor configurations, VLSI, and/or software) can easily be extended from the range of values of the finite field of integers, modulo P, to the finite ring of integers, modulo pN where N is afny positive integer. This technique can be used for exact calculations over the rational numbers as well as complex numbers. Examples, block diagrams, And processor arrays are presented illustrating the simplicity of these operations.
Published in: IEEE Transactions on Computers ( Volume: C-36, Issue: 6, June 1987)
Page(s): 764 - 768
Date of Publication: 30 June 1987

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