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Reseach Article

RNS Overflow Detection by Operands Examination

by H. Siewobr, K. A. Gbolagade
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 85 - Number 18
Year of Publication: 2014
Authors: H. Siewobr, K. A. Gbolagade
10.5120/14938-2906

H. Siewobr, K. A. Gbolagade . RNS Overflow Detection by Operands Examination. International Journal of Computer Applications. 85, 18 ( January 2014), 1-5. DOI=10.5120/14938-2906

@article{ 10.5120/14938-2906,
author = { H. Siewobr, K. A. Gbolagade },
title = { RNS Overflow Detection by Operands Examination },
journal = { International Journal of Computer Applications },
issue_date = { January 2014 },
volume = { 85 },
number = { 18 },
month = { January },
year = { 2014 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume85/number18/14938-2906/ },
doi = { 10.5120/14938-2906 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:02:46.079629+05:30
%A H. Siewobr
%A K. A. Gbolagade
%T RNS Overflow Detection by Operands Examination
%J International Journal of Computer Applications
%@ 0975-8887
%V 85
%N 18
%P 1-5
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, a novel scheme for detecting overflow in Residue Number System (RNS) is presented. A generalized scheme for RNS overflow detection is introduced, followed by a simplified Operands Examination Method for overflow detection for the moduli set ?{2?^n-1,2^n,2^n+1}. The proposed method detects overflow in RNS addition of two numbers without pre-computing their sum. Moreover, when compared with the best known similar state of the art designs, the proposed scheme requires lesser hardware, reduces the operation size and is faster.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Residue Number System Overflow Detection Reverse Converter Chinese Remainder Theorem Mixed Radix Conversion