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Synthesis of Combinational Logic Using Decomposition and Probability

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1 Author(s)
Crist, Stephen C. ; Department of Electrical and Computer Engineering, Clarkson College

A new algorithm for the synthesis of single-output two-valued combinational logic using decomposition and probability is described. Two probabilistic quantities, the probability of existence of all pertinent decomposition classes, and the probable cost of an N variable function are defined. Results for completely specified functions are derived and tabulated. The extension to incompletely specified functions is discussed. A randomly chosen function is assumed throughout the paper.

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Computers, IEEE Transactions on  (Volume:C-29 ,  Issue: 11 )