Yanko A. Methods and components of a computer system of fast processing of data presented in the residual classes

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U004816

Applicant for

Specialization

  • 05.13.05 - Комп'ютерні системи та компоненти

10-11-2016

Specialized Academic Board

Д 64.051.29

V.N. Karazin Kharkiv National University

Essay

The dissertational work is solved scientific and technical problem of development of methods and digital components of a computer system fast integer data processing based on the application non-positional numeral system in the residual classes. The main objective of this research is improving the performance of computer data processing system represented in integer form. In the dissertation work for the first time obtained the method of raising the remnants of integers, arbitrary module residue number system, to the power of a natural number, which is, in contrast to already known methods, based on the properties of the residue number system, by using the table principle of data processing, that increases the operation speed of raising integers to a power. An improved method for a table implementing multiplication of two numbers in the residue number system by using the possibility of performance multiplication operation, both the positive and negative numerical ranges, using a special coding numbers improves the performance of the operations implementation at multiplication in residue number system. Improved method for a quick comparison of two integers in the residual class system by increasing the accuracy of the comparison, by using the representation of numbers in the artificial form, expands the scope of effective use of the computer integer data processing systems in the residue number system. Keywords: a computer system integer data processing, artificial form, numeral system, performance of a computer data processing system, the principle of the tabular data processing, the residual classes system.

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