N.I. Chervyakov, M.G. Babenko, P.A. Lyakhov

Residue number system is very promising arithmetic to speed arithmetic operations. Its main advantage is a very fast implementation of modular operations, which include addition, subtraction and multiplication. Very relevant in the present day challenge is to find methods for rapid implementation of non-modular operations. To perform these operations, you must know the information about the magnitude of the whole. There are different approaches to the definition of the characteristics of the system of residual classes, indicating its value. Such features are called positional. In this paper, a comparative analysis of the known methods for determining the positional characteristics in the residue number system.