Efficient residue to binary converter

Residue number system to binary number system conversion is a very basic operation in any interface between the two systems. A five-moduli set, in which each modulus his a specific form is presented. The moduli set is defined as (2(k - 2), 2(k) - 1, 2(k) + 1, 2(k) - 2((k + 1)/2) + 1, 2(k) + 2((k + 1)/2) + 1), where k is an odd positive integer. The multiplicative inverses of each modulus is expressed in a closed-form expression, which facilitates the conversion process. The realisation of the introduced converter is very attractive for many residue-based applications. The converter requires only a multi-operand adder. The delay and area of the new converter are considerably less than those previously reported in the literature.