A new algorithm for the computation of the decimals of the inverse

Document Type : Article

Authors

1 Department of Electronics and Communication Engineering, National Institute of Technology Meghalaya, Meghalaya-793003, Shillong, India

2 Department of Computer Science and Engineering, National Institute of Technology Meghalaya, Meghalaya-793003; Shillong, INDIA

Abstract

Ancient mathematical formulae can be directly applied to the optimization of the algebraic computation. A new algorithm used to compute decimals of the inverse based on such ancient mathematics is reported in this paper. Sahayaks (auxiliary fraction) sutra has been used for the hardware implementation of the decimals of the inverse. On account of the ancient formulae, reciprocal approximation of numbers can generate \on the
y" either the rst exact n decimal of inverse, n being either arbitrary large or at least  6 in almost all cases. The reported algorithm has been implemented, and functionality has been checked in T-Spice. Performance parameters, like propagation delay and dynamic switching power consumptions, are calculated through spice-spectre of 90 nm CMOS technology. The propagation delay of the resulting 4-digit reciprocal approximation algorithm was only  1:8 uS and consumed  24:7 mW power. The implementation methodology off ered substantial reduction of propagation delay and dynamic switching power consumption from its counterpart (NR) based implementation.

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Scientia Iranica
Volume 24, Issue 3
Transactions on Computer Science & Engineering and Electrical Engineering (D)
May and June 2017
Pages 1363-1372

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