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Different computational systems are a set of functional units and processors that can work together and exchange data with each other if required. In most cases, data transmission is organized in such a way that enables for the possibility of connecting each node of the system to the other node of the system. Thus, a computer system consists of components for performing arithmetic operations, and an integrated data communication system, which allows for information interaction between the nodes, and combines them into a single unit. When designing a given type of computer systems, problems might occur if: – computing nodes of the system cannot simultaneously start and finish data processing over a certain time interval; – procedures for processing data in the nodes of the system do not start and do not end at a certain time; – the number of computational nodes of the inputs and outputs of the system is different. This article proposes an unconventional approach to constructing a mathematical model of adaptive-quantum computation of arithmetic operations of multiplication and division using the principle of predetermined random self-organization proposed by Ashby in 1966, as well as the method of the dynamics of averages and of the adaptive system of integration of the system of logical-differential equations for the dynamics of number-average states of particles S 1 , S 2 of sets. This would make it easier to solve some of the problems listed above.

NON-TRADITIONAL CALCULATIONS OF ELEMENTARY MATHEMATICAL OPERATIONS: PART 1. MULTIPLICATION AND DIVISION