Sharif University of TechnologyScientia Iranica1026-309824320170601A new algorithm for the computation of the decimals of the inverse13631372411910.24200/sci.2017.4119ENP. SahaDepartment of Electronics and Communication Engineering, National Institute of Technology Meghalaya, Meghalaya-793003,
Shillong, IndiaD. KumarDepartment of Computer Science and Engineering, National Institute of Technology Meghalaya, Meghalaya-793003; Shillong,
INDIAJournal Article20141103Ancient 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 <br />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 offered substantial reduction of propagation delay and dynamic switching power consumption from its counterpart (NR) based implementation.http://scientiairanica.sharif.edu/article_4119_1e9d03f3bda660d71a8869c6b2b7c2b1.pdf