Algorithm for Calculation the Carry and Borrow Signs in Multi-digit Operations in the Parallel Computational Model

Q3 Computer Science International Journal of Computing Pub Date : 2023-03-29 DOI:10.47839/ijc.22.1.2875

A. Tereshchenko, V. Zadiraka

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Abstract

The fast algorithm to calculate carry signs and borrow signs for implementation of fast multi-digit operations in the parallel computational model is proposed. The proposed algorithm also makes it possible to predict carry signs in the case of an addition operation and predict borrow signs for a subtraction operation. It is shown how the sign prediction algorithm is implemented in operations in which each parallel processor proceeds the separate group of words into which multi-digit numbers are divided. The iterative calculations of carry signs of grouped words are described. The sign calculation algorithm as component of new modifications of multi-digit addition, subtraction, comparison, the sum of three or more numbers in the parallel computational model is presented. The sign calculation algorithm provides general approach to the implementation of multiplication, division, multiplication by modulo, exponentiation by modulo in the parallel computational model. In the form of a table, a general analysis of the complexity of algorithms and an analysis of the complexity by the number of single-word operations per processor are given.

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并行计算模型中多位数运算进借号的计算算法

为了实现并行计算模型中快速的多位数运算，提出了进位和借位的快速计算算法。该算法还可以预测加法运算的进位符号和减法运算的借位符号。它显示了符号预测算法是如何在操作中实现的，其中每个并行处理器处理被分成多位数的单独的单词组。描述了分组词进位符号的迭代计算。提出了一种符号计算算法，作为并行计算模型中多位数加、减、比较、三数或三数以上和的新修改的组成部分。符号计算算法提供了在并行计算模型中实现乘法、除法、乘模、求模的通用方法。以表格的形式，给出了算法复杂度的一般分析和每个处理器的单字运算次数的复杂度分析。

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来源期刊

International Journal of Computing Computer Science-Computer Science (miscellaneous)

CiteScore

2.20

自引率

0.00%

发文量

期刊介绍： The International Journal of Computing Journal was established in 2002 on the base of Branch Research Laboratory for Automated Systems and Networks, since 2005 it’s renamed as Research Institute of Intelligent Computer Systems. A goal of the Journal is to publish papers with the novel results in Computing Science and Computer Engineering and Information Technologies and Software Engineering and Information Systems within the Journal topics. The official language of the Journal is English; also papers abstracts in both Ukrainian and Russian languages are published there. The issues of the Journal are published quarterly. The Editorial Board consists of about 30 recognized worldwide scientists.