V.A. Krasnobaeyv, A.S. Yanko, S.A. Koshman

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The mathematical models and algorithms for the squaring of integers by an arbitrary module of residue class are developed in this paper. These algorithms are based on analytical ratios that are proven in this article. The proposed algorithms for the squaring of integers by an arbitrary module of residue class can be used in computer devices that function as in positional number systems, and in no positional binary system of residue class.