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The H Diagram: A Graphical Approach to Logic Design
October 1971 (vol. 20 no. 10)
pp. 1192-1196
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.
Index Terms:
Combinational circuit synthesis, functional expansion, geometric expansion, residue.
Citation:
G.E. Marihugh, R.E. Anderson, "The H Diagram: A Graphical Approach to Logic Design," IEEE Transactions on Computers, vol. 20, no. 10, pp. 1192-1196, Oct. 1971, doi:10.1109/T-C.1971.223104
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