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 Prikl. Diskr. Mat., 2020, Number 49, Pages 98–107 (Mi pdm716)

Mathematical Backgrounds of Computer and Control System Reliability

About the reliability of logic circuits in all complete bases with three-input elements and failures of zero type on their outputs

M. A. Alekhina

Penza State Technological University, Penza, Russia

Abstract: We consider the implementation of Boolean functions by circuits from unreliable functional elements in a complete basis containing functions of three variables. We suppose that the elements of the circuit pass to faulty states independently of each other, and they subject to the single-type constant faults of 0 type at outputs. For each complete basis, either the exact value of the coefficient of unreliability is found, or the upper estimate for this coefficient is calculated.

Keywords: unreliable functional elements, reliability and unreliability of circuit, synthesis of circuits composed of unreliable elements.

DOI: https://doi.org/10.17223/20710410/49/7

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UDC: 519.718

Citation: M. A. Alekhina, “About the reliability of logic circuits in all complete bases with three-input elements and failures of zero type on their outputs”, Prikl. Diskr. Mat., 2020, no. 49, 98–107

Citation in format AMSBIB
\Bibitem{Ale20} \by M.~A.~Alekhina \paper About the reliability of logic circuits in all complete bases with three-input elements and failures of zero type on their outputs \jour Prikl. Diskr. Mat. \yr 2020 \issue 49 \pages 98--107 \mathnet{http://mi.mathnet.ru/pdm716} \crossref{https://doi.org/10.17223/20710410/49/7}