UDC 681.3

CONTROL ARITHMETIC OPERATIONS IN THE RESIDUE NUMBER SYSTEM

Kondrashov Aleksandr Vladimirovich1, Gordenko Dmitry Vladimirovich1, Rezenkov Denis Nikolaevich1
1Stavropol state agrarian university

Abstract
The comparative analysis of the numbers represented in the residue number system and AN code is given in the article. The analysis showed that natural redundancy of an AN code is much higher, than redundancy of the numbers represented in the residue number system. AN code advantages are determined. On the basis of the carried-out analysis it is possible to make a conclusion that application of AN codes to control the arithmetic operations in the residue number system has the following advantages: simplicity of realization; speed; not large volume of calculations and reduction of hardware expenses.

Keywords: AN-code, correction of mistakes, orthogonal bases, residue number system


Category: Mathematics

Article reference:
Kondrashov A.V., Gordenko D.V., Rezenkov D.N. Control arithmetic operations in the residue number system // Researches in Science. 2014. № 6 [Electronic journal]. URL: https://science.snauka.ru/en/2014/06/7491

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