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The class of non-commutative hypercomplex number systems (HNS) of 4-dimensionconstructed by using of non-commutative procedure of Grassman-Clifford doublingof 2-dimensional systems is investigated in the article. All HNS of this classare constructed, algorithms of performance of operations and methods ofalgebraic characteristics calculation in them, such as conjugation,normalization, a type of zero dividers are investigated. Formulas ofexponential functions representation in these systems are displayed.

Computing Characteristics of One Class of Non-commutative Hypercomplex Number Systems of 4-dimension