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2013 (Vol. 6, Issue: 11)
Article Information:

Hybrid RNS-to-Binary Converter for the Moduli Set {22n, 2n-1, 2n+1, 2n+1-1}

Somayyeh Jafarali Jassbi and Amir Sabbagh Molahosseini
Corresponding Author:  Somayyeh Jafarali Jassbi 

Key words:  Mixed-Radix Conversion (MRC), Residue Number System (RNS), reverse converter, , , ,
Vol. 6 , (11): 2027-2031
Submitted Accepted Published
November 24, 2012 January 19, 2013 July 25, 2013

The four-moduli Residue Number System (RNS) sets such as {2n-1, 2n, 2n+1, 2n+1-1} have attracted a lot of researches during recent years. However, nowadays applications require higher dynamic range. This study introduces the RNS four-moduli set {22n, 2n-1, 2n+1, 2n+1-1} which is obtained by enhancing the moduli set {2n-1, 2n+1, 2n+1, 2n+1-1}. This enhancement didnít increase the total speed of RNS arithmetic unit since the critical modulo in both of the moduli sets {2n-1, 2n, 2n+1, 2n+1-1} and {22n, 2n-1, 2n+1, 2n+1-1} is 2n+1+1 Besides, an efficient RNS-to-binary converter for the proposed moduli set is designed using a two-level architecture where a previous converter design for subset {22n, 2n-1, 2n+1} is used in the first level and then a two-channel Mixed-Radix Conversion (MRC) algorithm is considered to achieve the final result. Comparison with a recently introduced RNS-to-binary converter for a four-moduli set with the same dynamic range show that the proposed design results in higher speed.
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  Cite this Reference:
Somayyeh Jafarali Jassbi and Amir Sabbagh Molahosseini, 2013. Hybrid RNS-to-Binary Converter for the Moduli Set {22n, 2n-1, 2n+1, 2n+1-1}.  Research Journal of Applied Sciences, Engineering and Technology, 6(11): 2027-2031.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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