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Testing and Realization of Threshold Functions with Don't Cares

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2 Author(s)
Sheng, C.L. ; University of Ottawa, Ottawa, Canada. ; Hwa, H.R.

In this note the successive-higher-ordering method for testing and realization of threshold functions is applied to the realization of a threshold function F, such that it will contain a given function F1, which may or may not be a threshold function, and such that it will be contained in F1+F¿, where F¿ is the function representing the don't care vertices. Before the application of the successive-higher-ordering method, the given functions F1 and F¿ = (F1+F¿) are first changed into unate functions by the successive positivizing of the functions with respect to the variables, one at a time. Some theorems relating to this formation of unate functions are presented. A systematic procedure for testing and realization is developed. An example is given for illustration.

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Electronic Computers, IEEE Transactions on  (Volume:EC-16 ,  Issue: 6 )