N.I. Chervyakov, M.G. Babenko, P.A. Lyakhov, L.B. Kopytkova, I.N. Lavrinenko

Residue number system long attracted interest only on a theoretical level because of the complexity architectures that define the use of the data. However, the rapid growth of computer technology base makes the residue number system suitable for many applications in digital data processing, cryptography, data transmission systems based on code division multiple access channels, etc. The main advantage of modular arithmetic is the expansion of dynamic range in the parallel channels with a smaller dynamic range in choice of bases that lead to transactions without transfer between channels with different bases and reduce the delay of signals. The disadvantage of the residue number system can be noted the difficulty of carrying non-modular operations. The paper investigates the application of the method for determining the approximate positional characteristics for non-modular procedures system in the residue number system.