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.