Self-dual discrete devices with control of two subsets of outputs based on parity codes

The choice of controlled outputs divided into two subsets when organizing integrated control circuits for discrete devices using the properties of parity codes, are considered. Three basic computing control structures are described that operate in pulse mode using time redundancy and representing signals as sequences of zeros and ones. A structure for monitoring calculations at the outputs of discrete devices is proposed, combining the properties of the classical parity control structure and a structure with control of self-duality of calculations. The features of the distinguished subsets of outputs of discrete devices are established. The possibility is shown to identify methods of dividing outputs into subsets, for the control of each of which only self-dual or only self-quasi-dual Boolean functions “close” to them are used. Formulas describing the number of ways of dividing the outputs of discrete devices into subsets with special properties are obtained. Examples of calculations based on these formulas are given. The regularities inherent in the structures under consideration and manifesting themselves with an increase in the number of outputs of discrete devices are described. The results of the presented study may be of interest to developers of discrete devices with fault detection implemented on various element bases.

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