Reed-Muller canonical forms with mixed polarity and their manipulations

D.H. Green · IEE Proceedings E Computers and Digital Techniques · 1990

The set of 3n consistent mixed-polarity Reed-Muller canonical forms of an n-variable switching function is described and the means whereby each form may be derived by a transform on the zero-polarity form is investigated. The computational cost of deducing the optimum polarity expansion is evaluated for various strategies. A ternary map-based method is introduced which enables this search and other operations to be performed in a compact and efficient manner.

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