On Graphical Studies of PEN-IM Sets of Boolean Functions and their Minimizations. Part I† |
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| Authors: | PRANAB KUMAR SARKAR TRIPTIMOY MUKHERJEE |
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| Affiliation: | Department of Mathematics , Vivekananda College , Calcutta, 8 |
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| Abstract: | The graphs of the sets of all penultimate implicants of certain types of Boolean functions are obtained in this part of the paper. Identification of different C.H. Boolean functions with their graphs are then made and terms are coined to designate these functions for the easy pattern recognition of their graphs. Finally formulae are deduced which give the number of prime implicants that must be present in any minimal cover of these functions. |
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