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Residue-to-binary conversion by the "quotient function"

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5 Author(s)
Dimauro, G. ; Dipt. di Informatica, Univ. degli Studi di Bari, Italy ; Impedovo, S. ; Modugno, R. ; Pirlo, G.
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This paper presents the quotient function (QF) of the residue number system (RNS), which provides the integer value of the argument scaled by a modulus of the RNS. An application of the QF to residue-to-binary conversion is proposed, which outperforms the traditional approaches based on the Chinese remainder theorem and the mixed radix conversion, if a modulus of the kind 2k, k integer, is included in the set of RNS moduli.

Published in:

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:50 ,  Issue: 8 )

Date of Publication:

Aug. 2003

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