A METHOD FOR IMPLEMENTING THE OPERATION OF MODULO ADDITION OF THE RESIDUES OF TWO NUMBERS IN THE RESIDUE NUMBER SYSTEM

Krasnobayev V. A.; Kuznetsov A. A.; Koshman S. A.; Kuznetsova K. O.

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A METHOD FOR IMPLEMENTING THE OPERATION OF MODULO ADDITION OF THE RESIDUES OF TWO NUMBERS IN THE RESIDUE NUMBER SYSTEM

机译：一种用于实现残留号系统中的两个数量的模数的操作的方法

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The paper describes a method for implementing the arithmetic operation of modulo mi addition of the residues of two numbers in the residue number system (RNS). The method is based on the use of modulo M = 2(n) - 1adders, which consist of a set of sequential binary single-bit adders, by introducing and using additional feedbacks. The authors formulate the rules for introducing additional feedbacks, which makes it possible to implement the addition operation for an arbitrary modulo of RNS. Examples of the synthesis of binary adders and examples of the operation of RNS modulo addition of two numbers residues are given.

机译：本文介绍了用于在残留号系统（RNS）中的两个数字的残留物的模数Mi的算术运算的方法。该方法基于Modulo M = 2（n） - 1dders的使用，它通过引入和使用附加反馈来组成一组连续二进制单位添加剂。作者制定了引入额外反馈的规则，这使得可以实现RNS的任意模数的添加操作。给出了二元加法器的合成的实例和RNS模量的操作的实施例。

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来源
《Cybernetics and Systems Analysis》 |2020年第6期|1029-1038|共10页
作者
Krasnobayev V. A.; Kuznetsov A. A.; Koshman S. A.; Kuznetsova K. O.;
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作者单位

Kharkov Natl Univ Kharkiv Ukraine;

Kharkov Natl Univ Kharkiv Ukraine;

Kharkov Natl Univ Kharkiv Ukraine;

Kharkov Natl Univ Kharkiv Ukraine;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
computer system; residue number system; small-bit binary adder; positional number system; modular addition;

机译：计算机系统;残留号码系统;小位二进制加法器;位置号码系统;模块化添加;

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1. METHOD FOR IMPLEMENTING THE ARITHMETIC OPERATION OF ADDITION IN RESIDUE NUMBER SYSTEM BASED ON THE USE OF THE PRINCIPLE OF CIRCULAR SHIFT [J] . V.A.Krasnobayev, S.A.Koshman Cybernetics and Systems Analysis . 2019,第4期

机译：基于使用圆形偏移原理的基于使用原理的残留号系统添加算术运算的方法
2. Another Implementation of Efficient Recoding Circuit for Signed Digit to Residue Canonical Signed Digit on Modulo 2~n - 1 [J] . Yuuki Tanaka Applied Mechanics and Materials . 2019,第期

机译：有效编码电路的另一种实现，用于在模2〜n-1上使有符号数字残留为规范的有符号数字
3. Modulo reduction in residue number systems [J] . Posch K.C., Posch R. IEEE Transactions on Parallel and Distributed Systems . 1995,第5期

机译：减少残留数系统的模数
4. Modulo-(2^n -- 2^q -- 1) Parallel Prefix Addition via Excess-Modulo Encoding of Residues [C] . Langroudi Seyed Hamed Fatemi, Jaberipur Ghassem IEEE Symposium on Computer Arithmetic . 2015

机译：残差的多余模量模（2 ^ n-2 ^ q-1）并行前缀加法
5. Study of low complexity modulo residue number system multipliers and implementation of configurable devices. [D] . Bhagwat, Snehalata. 2003

机译：低复杂度模余数系统乘法器的研究和可配置设备的实现。
6. Implementation of a Serial Replica Exchange Method in a Physics-Based United-Residue (UNRES) Force Field [O] . Hujun Shen, Cezary Czaplewski, Adam Liwo, -1

机译：基于物理的联合残留物（UNRES）力场中串行副本交换方法的实现
7. Algorithms of implementation of unmodule operations of comparison of numbers in modular residue class system [O] . Юрий Давидович Полисский 2012

机译：模块化残留类系统中数字比较的未模型操作的实现算法
8. New Developments on the Core Function for Efficient Implementation of the Difficult Residue Number System Operations [R] . Altschul, R. E., Miller, D. D., Polky, J. N., 1985

机译：有效实施难渣数系统运行的核心功能新进展

A METHOD FOR IMPLEMENTING THE OPERATION OF MODULO ADDITION OF THE RESIDUES OF TWO NUMBERS IN THE RESIDUE NUMBER SYSTEM

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