A new algorithm for the Computation of the Decimals of the Inverse

Vedic mathematics, is an ancient computing methodology, has a unique computational technique based on 16 sutras (formulae). These formulae can be directly applied for the optimization of the algebraic computation. A new algorithm for the computation of the 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 Vedic formulae, reciprocal approximation of a numbers can generate “on the fly” either the n first exact decimals of the inverse, this n being either arbitrary large, or, at least, in almost all cases, 6. The reported algorithm has been implemented and functionality has been checked in T-Spice. Performance parameters like propagation delay, dynamic switching power consumption are calculated through spice-spectre of 90nm CMOS technology. The propagation delay of the resulting 4-digit reciprocal approximation algorithm was only ~1.8uS and consumes ~24.7mW power. The implementation methodology offered substantial reduction of propagation delay, and dynamic switching power consumption from its counterpart (NR) based implementation.