The H Diagram: A Graphical Approach to Logic Design | IEEE Journals & Magazine | IEEE Xplore

The H Diagram: A Graphical Approach to Logic Design


Abstract:

A geometric model, termed an H diagram, is an effective visual aid in the synthesis of combinational logic circuits. The model is derived by means of coordinate transform...Show More

Abstract:

A geometric model, termed an H diagram, is an effective visual aid in the synthesis of combinational logic circuits. The model is derived by means of coordinate transformations of a hypercube, resulting in a simple two-dimensional framework for mapping a binary function. The H diagram can be expanded to accommodate an arbitrary number of variables, while maintaining a mathematically consistent pattern that permits the extension of simple geometric interpretations to problems of more complexity. The effectiveness of the H diagram is demonstrated by applications that include the selection of prime implicants, expansion about arbitrary subfunctions, and transformation of variable sequences.
Published in: IEEE Transactions on Computers ( Volume: C-20, Issue: 10, October 1971)
Page(s): 1192 - 1196
Date of Publication: 31 October 1971

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