In this paper a new Binary-to-RNS converters for multi-moduli RNS based on conjugate-pair as
of the set { 2n1 – 2, 2n1 + 2, 2n2 – 2, 2n2 + 2, …, 2nN – 2, 2nN + 2 } are presented. 2n
– 2
and 2n
+ 2 modulies are called conjugates of each other. Benefits of Multi-moduli RNS
processors are; relying on the sets with pairs of conjugate moduli : 1) Large dynamic ranges. 2)
Fast and balanced RNS arithmetic. 3) Simple and efficient RNS processing hardware. 4)
Efficient weighted-to-RNS and RNS-to-Weighted converters. [1] The dynamic range (M)
achieved by the set above is defined by the least common multiple (LCM) of the moduli. This
new non-coprime conjugate-pair is unique and the only one of its shape as to be shown.