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Hierarchical residue number systems with small moduli and simple converters

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Tomczak T.

International Journal of Applied Mathematics and Computer Science

2011

tom 21

nr 1

173-192

In this paper, a new class of Hierarchical Residue Number Systems (HRNSs) is proposed, where the numbers are represented as a set of residues modulo factors of 2k ± 1 and modulo 2k . The converters between the proposed HRNS and the positional binary number system can be built as 2-level structures using efficient circuits designed for the RNS (2k-1, 2k, 2k+1). This approach allows using many small moduli in arithmetic channels without large conversion overhead. The advantages resulting from the use of the proposed HRNS depend on the possibility of factorisation of moduli 2k ± 1.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Tomczak T.

1 2011

Wyniki wyszukiwania

Hierarchical residue number systems with small moduli and simple converters