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Reseach Article

Efficient RNS Reverse Converter using New Chinese Remainder Theorem I and the Moduli Set {24n, 22n+1, 2n+1, 2n-1}

by Constant Akama
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 181 - Number 12
Year of Publication: 2018
Authors: Constant Akama
10.5120/ijca2018917701

Constant Akama . Efficient RNS Reverse Converter using New Chinese Remainder Theorem I and the Moduli Set {24n, 22n+1, 2n+1, 2n-1}. International Journal of Computer Applications. 181, 12 ( Aug 2018), 11-14. DOI=10.5120/ijca2018917701

@article{ 10.5120/ijca2018917701,
author = { Constant Akama },
title = { Efficient RNS Reverse Converter using New Chinese Remainder Theorem I and the Moduli Set {24n, 22n+1, 2n+1, 2n-1} },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2018 },
volume = { 181 },
number = { 12 },
month = { Aug },
year = { 2018 },
issn = { 0975-8887 },
pages = { 11-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume181/number12/29823-2018917701/ },
doi = { 10.5120/ijca2018917701 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:05:47.506838+05:30
%A Constant Akama
%T Efficient RNS Reverse Converter using New Chinese Remainder Theorem I and the Moduli Set {24n, 22n+1, 2n+1, 2n-1}
%J International Journal of Computer Applications
%@ 0975-8887
%V 181
%N 12
%P 11-14
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Residue number system (RNS) is a promising technology for high speed, power efficient and fault tolerant hardware design. The reason is that in RNS, arithmetic operations are performed in parallel, thus reducing delays due to carry operations. Additionally, RNS computations are faster than binary computations because of the reduced wordlength due to modulo operations. Despite the advantages of RNS, its performance depends on the moduli set and the reverse conversion algorithm used to convert the residue numbers back to binary form. There is therefore the need to select the moduli set and the reverse conversion algorithm carefully so that the performance of the RNS hardware is not overshadowed by reverse conversion overheads. This paper proposes an 8n bit moduli set 2 4

References
  1. A. S. Molahosseini, K. Navi, C. Dadkhah, O. Kavehei, and S. Timarchi, “Efficient Reverse Converter Designs for the New 4-Moduli Sets
  2. 2
Index Terms

Computer Science
Information Sciences

Keywords

Residue Number Systems Reverse Converter Moduli Set Chinese Remainder Theorem.