Error-free parallel rational arithmetic for optical and VLSI computing

Krishnamurthy, E. V. ; Murthy, V. K. (1987) Error-free parallel rational arithmetic for optical and VLSI computing Applied Optics, 26 (22). pp. 4819-4822. ISSN 0003-6935

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Official URL: http://www.opticsinfobase.org/abstract.cfm?URI=ao-...

Related URL: http://dx.doi.org/10.1364/AO.26.004819

Abstract

An error-free carry-free (parallel) rational arithmetic system based on residue and p-adic representation is introduced. In this system, Farey rational numbers, whose numerators and denominators are bounded, are encoded into Para-Hensel codes (parallel rational Hensel code), and the parallel element-wise arithmetic is performed using these codes. The algorithms for encoding into and decoding from the Para-Hensel code and the arithmetic algorithms are described. This system will have extensive applications in massively parallel processors.

Item Type:Article
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ID Code:28189
Deposited On:14 Dec 2010 08:18
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