Kushch S. Multivariate methods implement the components of computer systems.

This work is devoted to the development of new methods of multivariant implementation of the components of computer systems, and new circuit solutions that use alternative forms of representation of logic functions. The purpose of research is to develop methods that can be used in the design and improvement of computer hardware components and elements of the digital blocks by alternative forms of representation of logic functions. The object of research is formation process of new alternative forms of representation of logical function. The reliability of scientific statements, conclusions and practical recommendations of dissertation are confirmed by correct justification of formulation of the problem, the exact wording of criteria and comparison with the existing new foreign patents and publishing the results in refereed journal. The author was the first who developed a new form of representation for Cognate-logical functions, which permits, thanks to multi-variant to optimize the transition from the truth tables to schemes or algorithms functioning of the digital machine. Practical examples where Cognate-form is appropriate and even necessary had been shown. Also in the paper have been further developed researches on the effectiveness and optimization of new, so-called "orthogonal" representation of logic functions, and issues had been addressed of rational division of arguments for the distribution of information and basis subset that allow to facilitate the realisation of logic functions. Typical steps for obtaining Cognate-form for a particular logical function and its minimization had been formed. The researcher investigated and numerically proved that the use of new, developed in the work, circuit designs, which are based on alternative forms of representation of logical functions, allows the design of new components of computer systems to improve the performance of their implementation. The use of the suggested in the work new forms of representation of logical functions, as well as new developed circuit design, extends the functionality of the design components of computer systems by increasing the number of optimally implemented logical functions, compared to the classic form of representation, and to reduce the gate area by eliminating the duplication of input tires and reducing the number of elements used.