This paper distinguishes two kinds of algebra, namely switching algebra and binary signal algebra, in which switching and binary signal variables describe switching states of MOS transistors and signals in digital circuits respectively. Threshold comparison operations, transmission operation and union operation are introduced to connect these two algebras. These new operations conform to the action principle of MOS transistors. Based on the theory of transmission switches proposed in this paper, new design procedures for both constant and variable transmission sources are presented. the logic design of CMOS circuits at switch level is realized and CMOS circuits with simpler construction may be obtained by using variable transmission sources.
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Xiangyu Wu (1992) studied this question.
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