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Volume 19 (2022)
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Advances in Computer Science and Engineering
Advances in Computer Science and Engineering
Volume 3, Issue 2, Pages 147 - 156 (July 2009)
A SHORTER ALGORITHM FOR EFFICIENT RESIDUE TO DECIMAL CONVERSION
Kazeem Alagbe Gbolagade (Ghana)
Abstract:
Data conversion is one of the most important considerations in the design of Residue Number System (RNS) processors. The input numbers provided are either in standard binary or decimal which need to be converted to RNS before performing the operations and which must be presented in the same way as the input at the end of the operations. This implies that conversion between decimal and RNS is greatly required. The conversion technique chosen determines how efficient the design is. In this paper, we present an efficient RNS to decimal conversion algorithm. The conversion algorithm is based on the cyclic pattern inherent in RNS. In comparison with Yassine and Moore’s conversion algorithm, the proposed algorithm achieves a considerable reduction in the number of arithmetic operations (addition, subtraction and multiplication) needed during the conversion process. Consequently, the proposed algorithm outperforms Yassine and Moore’s conversion algorithm in terms of delay resulting in faster implementation.
Keywords and phrases:
weighted number system, unweighted number system, residue number system, data conversion, Chinese remainder theorem, mixed radix conversion, digital signal processing.
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P-ISSN: 0973-6999
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