Article: Low power Modulo [2.sub.n]+1 adder based on Carry Save Diminished-one number system.(Report)

INTRODUCTION

The Residue Number System (RNS) is a non-weighted number system (1) that can map large numbers to smaller residues, without any need for carry propagations (2). Arithmetic operations like addition, subtraction and multiplication can be performed on residue digits concurrently and independently. Thus, using residue arithmetic, would in principle, increase the speed of computations (3), (4), (5).

RNS has shown high efficiency in realizing special purpose applications such as digital filters (6), (7), (8), (9), image processing (10), RSA cryptography (11) and specific applications for which only additions, subtractions and multiplications are ...

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