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Novel Modulo 2n+1 Subtractor and Multiplier

Authors:
Dina Younes
Pavel Steffan

Keywords: Residue number system; modulo 2n+1; subtractor; multiplier

Abstract:
This paper introduces a novel design of modulo 2n+1 subtractor in Residue Number System (RNS). A novel design of modulo 2n+1 multiplier has also been introduced by utilizing the presented subtractor. The two designs are suitable for small values of n, as they depend on the normal (binary) representation of RNS numbers, instead of diminished-one representation which has difficulties in representing zero operands and results, and need to deal with them separately. The presented circuits were implemented and simulated using VHDL to prove the theoretical consideration.

Pages: 36 to 38

Copyright: Copyright (c) IARIA, 2011

Publication date: January 23, 2011

Published in: conference

ISSN: 2308-4243

ISBN: 978-1-61208-114-4

Location: St. Maarten, The Netherlands Antilles

Dates: from January 23, 2011 to January 28, 2011