Basis Forms of Switching Functions

Can Y, Fischer G (2017)


Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2017

Event location: Bursa

Abstract

This paper presents extended forms, equations, and relations of switching function which are derived out of the theory of switching algebra and the combinational circuit design. Two extended forms and four already defined standard forms of switching function, which are partly renamed, are presented. Out of the combinational circuit design these extended forms, the antivalence of disjunctions ADF and the equivalence of conjunctions ECF, are educed and thereby their algebraic expressions are set up. For that, conversion rules which enable the transformation of a disjunction of two variables in equivalence-operation of the same variables and the transformation of a conjunction consisting of two variables in antivalence-operation of the same variables will be lay down. Additionally, exclusion laws regarding to the extended forms ADF and ECF are set up which are deduce out of the distributive laws of the standard forms. Furthermore, in the case of orthogonal representation of these six function forms relations between them result. That means, by orthogonalization of a corresponding function form it can be easily transformed in an equivalent another function form.

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How to cite

APA:

Can, Y., & Fischer, G. (2017). Basis Forms of Switching Functions. In Proceedings of the 10th International Conference on Electrical and Electronics Engineering (ELECO 2017), IEEE Turkey Section. Bursa.

MLA:

Can, Yavuz, and Georg Fischer. "Basis Forms of Switching Functions." Proceedings of the 10th International Conference on Electrical and Electronics Engineering (ELECO 2017), IEEE Turkey Section, Bursa 2017.

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