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Synthesis of logic units for calculating self-dual symmetric Boolean functions

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Abstract

A problem of synthesizing logic circuits of units is considered. Here, an arbitrary self-dual symmetric Boolean function depending on three, five, or seven variables is realized in a single output. The constructive complexity of the synthesized logic circuits is determined by the number of inputs of logic elements, while the operating speed is influenced by the depth of the circuit. The logic circuits exceed the existing analogues in terms of complexity and operating speed.

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Correspondence to V. P. Suprun.

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Original Russian Text © V.P. Suprun, F.S. Korobko, 2014, published in Avtomatika i Vychislitel’naya Tekhnika, 2014, No. 1, pp. 26–35.

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Suprun, V.P., Korobko, F.S. Synthesis of logic units for calculating self-dual symmetric Boolean functions. Aut. Control Comp. Sci. 48, 17–24 (2014). https://doi.org/10.3103/S0146411614010088

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