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Ninth Great Lakes Symposium on VLSI
Residue Arithmetic Circuits Based on Signed-Digit Number Representation and the VHDL Implementation
Ann Arbor, Michigan
March 04-March 06
ISBN: 0-7695-0104-4
Shugang Wei, Gunma University
Kensuke Shimizu, Gunma University
Residue arithmetic circuits based on radix-2 signed- digit(SD) number representation, using integers 2pand 2p ? 1 as moduli of residue number system(RNS), are presented. The modulo m addition, m = 2p or m = 2p ? 1, is performed by a carry-free SD adder and the modulo m multiplier is constructed using a binary modulo m SD adder tree. The implementation for the residue arithmetic circuits with VHDL description is proposed. The modulo m adders and multipliers have about 530 and 5000 gates, respectively, in cases of m = 216 ? 1.
Citation:
Shugang Wei, Kensuke Shimizu, "Residue Arithmetic Circuits Based on Signed-Digit Number Representation and the VHDL Implementation," glsvlsi, pp.218, Ninth Great Lakes Symposium on VLSI, 1999
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