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A Two-Rail Cascade Synthesis of Boolean Functions
June 1968 (vol. 17 no. 6)
pp. 592-596
Abstract?A simple synthesis procedure has been derived for the simultaneous realization of two arbitrary binary functions of the same 4 variables in a single two-rail cascade. The synthesis method is based on successive transformations of the given table of functions into the table realizable by a 2-cell cascade. Usable transformations relate to 13 classes of 2-input, 2-output networks, a list of which is presented. Every transformation of the table of functions requires the use of one cell in the cascade. The canonical two-rail cellular cascades for functions of 4 and more input variables are also presented and the use of a common decoder for great cellular arrays is suggested.
Index Terms:
Index Terms?Cellular cascade, equivalence classes of functions, functional decomposition, iterative structure, two-rail cascade.
Citation:
V. Dvorak, "A Two-Rail Cascade Synthesis of Boolean Functions," IEEE Transactions on Computers, vol. 17, no. 6, pp. 592-596, June 1968, doi:10.1109/TC.1968.226924
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