Residue Number Systems

RNSs are extremely good for applications such as digital signal processing, communications engineering, computer security (cryptography), image processing, speech processing, and transforms, all of which are extremely important in computing ...

Residue Number Systems

Author: Amos R. Omondi

Publisher: World Scientific

ISBN: 1860948669

Page: 296

View: 609

Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great deal of computing now takes place in embedded processors, such as those found in mobile devices, for which high speed and low-power consumption are critical; the absence of carry propagation facilitates the realization of high-speed, low-power arithmetic. Second, computer chips are now getting to be so dense that full testing will no longer be possible; so fault tolerance and the general area of computational integrity have become more important. RNSs are extremely good for applications such as digital signal processing, communications engineering, computer security (cryptography), image processing, speech processing, and transforms, all of which are extremely important in computing today.This book provides an up-to-date account of RNSs and arithmetic. It covers the underlying mathematical concepts of RNSs; the conversion between conventional number systems and RNSs; the implementation of arithmetic operations; various related applications are also introduced. In addition, numerous detailed examples and analysis of different implementations are provided.

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Residue Number Systems
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This new and expanded monograph improves upon Mohan's earlier book, Residue Number Systems (Springer, 2002) with a state of the art treatment of the subject. Replete with detailed illustrations and helpful examples, this book covers a host of cutting edge topics such as the core function, the quotient function, new
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Books about RESIDUE NUMBER SYSTEMS FOR COMPUTERS
Division in Residue Number Systems Involving Length Indicators
Language: en
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Categories: Parallel processing (Electronic computers)
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Abstract: "In residue number systems many arithmetic operations, like addition and multiplication, can be done in constant time. But, among others, division is more complex. This paper introduces a division algorithm which is in its complexity comparable to the conventional integer division algorithm. The algorithm exhibits nice properties especially for