Design of Reconfigurable Signed Dual Modulo Multiplier Function (DMMF) for RNS

Abstract

Residue Number System (RNS) is an alternative number representation of a Binary weighted system to process the data at a higher rate with lower hardware. Modular Multiplication operations are extensively utilized in RNS Processors. To increase the processor's performance, a new configurable signed dual modulo <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$2^{\mathrm{n}}\pm 1$</tex> multiplication that uses array architecture is proposed in this work. The multiplier could be used to perform successive modulo multiplications on the same hardware. Mathematical modelling, VLSI architecture and real-time verification are done in this work. Proposed DMMF saves the area by 40%, reduces the power consumption by 37%, and increases the operation speed by 33% compared to the architecture operated separately.