Methods for comparing numbers in non-positional notation of residual classes

Methods for optimizing computations in computer systems and components that are based on the use of arithmetic transformations in the system of residual classes are considered. Methods of comparing numbers in the system of residual classes based on the representation and processing of data without directly converting the compared numbers from a modular code to a positional code and back are investigated. Some methods are based on the principle of obtaining and comparing a unitary single-row code. Based on the proposed methods, algorithms for their implementation have been developed, in accordance with which a class of patentable devices has been developed for performing arithmetic and algebraic comparison of numbers in the system of residual classes.