The proposed compendium of tasks is compiled in accordance with the program of the university course . The first four paragraphs are devoted to binary Boolean algebra and its application in the theory of relay-contact schemes, as well as the calculation of statements and predicates. Most of the tasks of the last two paragraphs are related to binary relationships, which are increasingly used in various areas of mathematics. The tasker is provided with answers and instructions, each section is preceded by a small theoretical introduction. The collection can be used as a manual for students of youth mathematical schools and all independently studying the relevant sections of mathematics.