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