An Improved Method for Performing the Arithmetic Operations of Modulo Addition of the Remainders of Numbers

In the paper, it is proposed to improve the method of execution the arithmetic operation of adding two remainders of numbers introduced in the non-positional number system, based on the use of binary one-bit adders, executed on logic gates with two stable states. Improvement of the method of executing the operation of arithmetic addition is achieved by providing all possible correct values of the outcome of the modular operation of adding. The analysis of the examples of implementation of modular addition considered in the paper demonstrated the practical enforceability of the developed improved method of execution the addition operation of two remainders by an arbitrary non-positional number system modulus.