Efficient forward and reverse converters for a new high-radix moduli set

Amir Sabbagh Molahosseini, Keivan Navi, Marjan Kuchaki Rafsanjani · 2008

The residue number system (RNS) is a carry-free number system which can support parallel and high-speed arithmetic. In this paper, efficient and simple designs of forward and reverse converters for the new radix-r moduli set {r2n, rn- 1} are presented. This moduli set contains well-formed moduli which can result in fast RNS arithmetic and efficient forward and reverse conversion. In comparison with the last work, the proposed designs achieve higher-speed and lowercost resulting in higher overall performance of the RNS system.

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