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Opposition (boolean Algebra)
In Boolean algebra (logic), Boolean algebra, the consensus theorem or rule of consensus is the identity: :xy \vee \barz \vee yz = xy \vee \barz The consensus or resolvent of the terms xy and \barz is yz. It is the conjunction of all the unique literals of the terms, excluding the literal that appears unnegated in one term and negated in the other. If y includes a term that is negated in z (or vice versa), the consensus term yz is false; in other words, there is no consensus term. The conjunctive De Morgan's laws, dual of this equation is: :(x \vee y)(\bar \vee z)(y \vee z) = (x \vee y)(\bar \vee z) Proof : \begin xy \vee \barz \vee yz &= xy \vee \barz \vee (x \vee \bar)yz \\ &= xy \vee \barz \vee xyz \vee \baryz \\ &= (xy \vee xyz) \vee (\barz \vee \baryz) \\ &= xy(1\vee z)\vee\barz(1\vee y) \\ &= xy \vee \barz \end Consensus The consensus or consensus term of two conjunctive terms of a disjunction is de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
Karnaugh Map KV Race Hazard 10
Karnaugh is a surname. Notable people with the surname include: * Maurice Karnaugh (1924–2022), American physicist, mathematician, and inventor * Ron Karnaugh (born 1966), American retired swimmer See also * Karnaugh map {{surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
