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American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the | Vol.73, Issue.4 | | Pages 289-291

American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the

Switching functions on an n-dimensional cube

Lee, C. Y.  
Abstract

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.

Original Text (This is the original text for your reference.)

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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Lee, C. Y.,.Switching functions on an n-dimensional cube. 73 (4),289-291.

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