A. A. Suleymanov - Post-graduate Student, Assistant, Department of Automation and Telemechanics, Perm National Research Polytechnic University. E-mail: alex@pstu.ru
S. F. Turin - Dr.Sc. (Eng.), Professor, Department of Automation and Telemechanics, Perm National Research Polytechnic University. E-mail: tyurinsergfeo@rambler.ru
A. Y. Gorodilov - Research Associate, Perm National Research Polytechnic University. E-mail: gora830@yandex.ru

This article consists of an introduction, two main parts and a conclusion. In the introduction, the basic concept is disclosed functionally complete and tolerant basis. It is also designated task of circuit synthesis system functions. An example of a synthesis system functions with separate synthesis and system. In the first part of - Synthesis of systems with two functions - proposed a classification system of the two functions of the type of relationship to each other. Three types of relationships. Next, the approach of synthesis systems using multi variable and are a few examples of the synthesis using this approach. A comparative analysis of these schemes and schemes with separate synthesis. In the second part of the - Synthesis of systems with total lock function - considered the system functions, where one function completely contains the other. An approach to solve the problems of synthesis of such systems by blocking the common sub-functions. Several examples of solved by this method and the comparative analysis with the results of the separate synthesis. Finally, several conclusions on the synthesis of systems and the use of the approaches proposed in the article.