American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the | Vol.73, Issue.4 | | Pages 289-291
Switching functions on an n-dimensional cube
THE analysis and synthesis of 2-terminal combinational networks from the standpoint of truth tables and Boolean algebra have been treated in great detail.1,2 In this paper these networks will be considered from a somewhat different viewpoint, mainly a switching function will be considered as a set of Vertexes on an n-dimensional cube (n-cube). Once a correspondence between a switching function and a set of Vertexes on an n-cube is found, the concept of a ¿distance¿ may then be introduced. This concept proves to be of value in the problems of discovering symmetries and of classifying types of switching functions.
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Switching functions on an n-dimensional cube
THE analysis and synthesis of 2-terminal combinational networks from the standpoint of truth tables and Boolean algebra have been treated in great detail.1,2 In this paper these networks will be considered from a somewhat different viewpoint, mainly a switching function will be considered as a set of Vertexes on an n-dimensional cube (n-cube). Once a correspondence between a switching function and a set of Vertexes on an n-cube is found, the concept of a ¿distance¿ may then be introduced. This concept proves to be of value in the problems of discovering symmetries and of classifying types of switching functions.
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