I.N. Lavrinenko, M.A. Fedorova, O.D. Rojenko, A.V. Gladkov

Operations in a modular code can be broken into two main groups: modular and not modular. The group of modular operations consisting of arithmetic operations (addition, subtraction and multiplication) in residual arithmetics, includes fast operations. The operations entering into the second group, are slow, them treat - finding of a deduction of numbers, its transformation, definition of overflow of a range, expansion of base of the bases, scaling and others, and demand sometimes partial transformation to item notation. For acceleration of operations the universal item characteristic for the modular representation which calculations are conducted on a basis CRT and mixed-radix conversion is used. The universal item characteristic - factors of the generalized item notation is carried out for 1 cycle of synchronization and is a basis for performance of all set of not modular operations of modular arithmetics of a full range.