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SN-algebra - the new mathematical means for logic design of digit systems is discussed. The paper contains introduction to SN-algebra: definitions of operations and brief description of their properties, generalized elementary classification of represented functions, some items of information on decompositions of Boolean functions and their normal segment forms. The new approach to the minimization problem basing on conversion of n-dimensional space of logic function domain is considered. It permits rather simply to find quasiminimum forms of them representation.