ПРО ОДИН ПІДХІД ДО ПЕРЕТВОРЕННЯ ЧИСЕЛ У СИСТЕМАХ ЗАЛИШКОВИХ КЛАСІВ ІЗ РІЗНИМИ МОДУЛЯМИ

Abstract

The purpose of the study is an analytical consideration of the system of residual classes for the implementation of the operation of converting numbers from one system of residual classes to another. System analysis, number theory, and the Chinese remainder theorem are tools of the research methodology. The method uses the representation of the number both by its remainders and in the polyadic code. The methodology is based on determining the positional characteristics for this module on the basis of the received positional characteristics for the remaining modules of the original system, with the subsequent construction on their basis of the residuals for the modules of the sought system. The theoretical justification of the approach for obtaining an effective solution of this non-modular operation is performed. The considered solutions have high speed and can be effective in the development of modular computing structures for promising information technologies.