A new four-modulus RNS to binary converter

Amir Sabbagh Molahosseini, Faegheh Teymouri, Keivan Navi · 2010

This paper presents a new residue number system (RNS) to binary converter for the novel four-moduli set {2n/2-1, 2n/2+1, 2n+1, 22n+1-1} for even n, based on new Chinese remainder theorem 1 (New CRT-I). Due to the simple multiplicative inverses of the proposed moduli set, it can considerably reduce the complexity of the RNS to binary converter. The presented converter architecture is adder-based, and it has better performance in terms of hardware requirements and conversion delay than the latest designs of the RNS to binary converters for another 4-moduli set with the same dynamic range.

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