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Reseach Article

New Efficient Reverse Converters for 8n-bit Dynamic Range Moduli Set

by S. Abdul-Mumin, P. A. Agbedemnab, M. I. Daabo
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 161 - Number 9
Year of Publication: 2017
Authors: S. Abdul-Mumin, P. A. Agbedemnab, M. I. Daabo
10.5120/ijca2017913243

S. Abdul-Mumin, P. A. Agbedemnab, M. I. Daabo . New Efficient Reverse Converters for 8n-bit Dynamic Range Moduli Set. International Journal of Computer Applications. 161, 9 ( Mar 2017), 23-27. DOI=10.5120/ijca2017913243

@article{ 10.5120/ijca2017913243,
author = { S. Abdul-Mumin, P. A. Agbedemnab, M. I. Daabo },
title = { New Efficient Reverse Converters for 8n-bit Dynamic Range Moduli Set },
journal = { International Journal of Computer Applications },
issue_date = { Mar 2017 },
volume = { 161 },
number = { 9 },
month = { Mar },
year = { 2017 },
issn = { 0975-8887 },
pages = { 23-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume161/number9/27177-2017913243/ },
doi = { 10.5120/ijca2017913243 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:07:00.214052+05:30
%A S. Abdul-Mumin
%A P. A. Agbedemnab
%A M. I. Daabo
%T New Efficient Reverse Converters for 8n-bit Dynamic Range Moduli Set
%J International Journal of Computer Applications
%@ 0975-8887
%V 161
%N 9
%P 23-27
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper proposes two efficient residue to binary converters on a new three-moduli set {2^2n-1,2^4n,2^2n+1} using the Chinese Remainder Theorem. The proposed reverse converters are adder based and memoryless. In comparison with other moduli sets with similar dynamic range, the new schemes out-perform the existing schemes in terms of both hardware cost and relative performance.

References
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  2. P. A. Agbedemnab and E. K. Bankas, “A Novel RNS Overflow Detection and Correction Algorithm for the Moduli Set {2^n-1,2^n,2^n+1},” Int. J. Comput. Appl., vol. 110, no. 16, pp. 30–34, Jan. 2015.
  3. M. Bhardwaj, T. Srikanthan, and C. T. Clarke, “A reverse converter for the 4 moduli super set {2^n-1, 2^n, 2^n+1, 2^(n+1)+1},” IEEE Conf. Comput. Arith., 1999.
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  8. K. A. Gbolagade, “New Adder-Based RNS-Binary Converters for the {2^(n+1)+1,2^(n+1)-1,2^n } Moduli Set.,” Int. Sch. Res. Netw.
  9. G. Jaberipur and H. Ahmadifar, “A ROM-less reverse RNS converter for moduli set 2q ?? 1, 2q ?? 3,” IET Comput. Digit. Tech., vol. 8, no. 1, pp. 11–22, Jan. 2014.
  10. E. K. Bankas and K. A. Gbolagade, “A New Efficient RNS Reverse Converter for the 4-Moduli Set {2^n, 2^n+1, 2^n-1, 2^(2n+1)-1},” Int. J. Comput. Electr. Autom. Control Inf. Eng., vol. 8, no. 2, pp. 318–322, 2014.
Index Terms

Computer Science
Information Sciences

Keywords

Residue to binary converter reverse converter residue number system (RNS) Chinese remainder theorem moduli set.