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High-radix redundant circuits for RNS modulo rn - 1, rn, or rn + 1

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2 Author(s)
I. Kouretas ; Electr. & Comput. Eng. Dept, Patras Univ. ; V. Paliouras

In this paper a novel class of Residue Number System (RNS) arithmetic circuits is introduced. The novel circuits feature the radix-r representation, r = 2i - 1, (i > 1) of the involved residues, and perform operations modulo rn - 1, r n, or rn + 1. Redundancy is used in the representation of the radix-r digits to reduce the complexity of the digit adder cells. The area and time complexity of the proposed high-radix multipliers is compared to published results; the comparisons reveal that the proposed architecture can be several times more efficient in the area times time product complexity sense

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Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on  (Volume:5 )

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