Single-Level Schematic Realization of Basic Operations
of Modular Arithmetic in Unitary Codes

V. P. Suprun

Faculty of Mechanics and Mathematics, Belarussian State University, av. Nezavisimosti 4, Minsk, 220030 Belarus

E-mail: suprun@bsu.by

Received October 6, 2010

Abstract—Some problems in the schematic realization of basic operations of modular arithmetic (oper-
ations of addition and multiplication modulo 5 and modulo 7) for the case of data representation in uni-
tary codes are considered. Single-level logical schemes of modular adders and multipliers synthesized
using EXCLUSIVE OR with a threshold are presented. These logical schemes are more efficient (in both
complexity and depth) than the existing analogs.

Keywords: modular arithmetic, unit, unitary codes, modular adder, modular multiplier, logical scheme.

DOI: 10.3103/S0146411611020088

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