Abstract
The residue number system (RNS) is suitable for implementing high-speed digital processing devices because it supports parallel, modular, fault-tolerant, and carry-bounded arithmetic. The carry propagation is restricted to inside the modulus. The remaining intramoduli carry propagation limits the speed of arithmetic operation. Therefore, the carry-free property of a redundant arithmetic can be used. In this paper, we discuss a recently proposed class of high-radix redundant RNS based on the stored-unibit-transfer representation for modulo 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> + 1 that improves the power-delay-product performance of conventional redundant RNS. In addition, subtraction and multiplication circuits are designed in the proposed system.
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