RNS-to-Binary Converters for a Three-Moduli Set {2n−1 − 1, 2n − 1, 2n+k}

Madhavi Latha; Rashmi Rachh; P. V. Ananda Mohan

doi:10.1080/09747338.2017.1317040

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RNS-to-Binary Converters for a Three-Moduli Set {2ⁿ⁻¹ − 1, 2ⁿ − 1, 2ⁿ⁺^k}

Madhavi Latha Rashmi Rachh P. V. Ananda Mohan

Year: 2017 Journal: IETE Journal of Education Vol: 58 (1)Pages: 20-28 Publisher: Taylor & Francis

DOI: 10.1080/09747338.2017.1317040

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Abstract

In this paper, a RNS (residue number system) to binary converter for the three-moduli set {2n + k, 2n − 1, 2n−1 − 1} using mixed radix conversion technique is presented. Two reverse converter designs to cater for the two ranges 0 ≤ k ≤ n − 2 and n − 2< k ≤ n are presented. The hardware requirement and conversion times of the proposed converters have been compared with several three-moduli RNS-to-binary converters for realizing the same dynamic range in order to bring out the hardware resource/conversion time trade-offs.

Keywords:

Converters Moduli Binary number Residue number system Mathematics Set (abstract data type) Topology (electrical circuits) Algorithm Arithmetic Computer science Electrical engineering Physics Engineering Voltage Combinatorics

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Cryptography and Residue Arithmetic

Physical Sciences → Computer Science → Information Systems

Low-power high-performance VLSI design

Physical Sciences → Engineering → Electrical and Electronic Engineering

Coding theory and cryptography

Physical Sciences → Computer Science → Artificial Intelligence

RNS-to-Binary Converters for a Three-Moduli Set {2ⁿ⁻¹ − 1, 2ⁿ − 1, 2ⁿ⁺^k}

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