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Basic Cancer R Some more important Boolean identities and theorems for convenient referral 2 A+AB=A+B, A(A'+B)=AB 顶A"=A D(A+B)=A'B':(AB)=A'+B a Demorgan's theorems 圆(A1+A2+…+A1+An)=A1'A2…A….An 0(A1A2…A1…An)=A1+A2+…+A1+.+An R AB+AB=A:(A+B)(A+B)=A o AB+A'C+BC=AB+A'C (A+B)(A+C)(B+C)=(A+B)(A+C)Basic Concept Some more important Boolean identities and theorems for convenient referral A+A’B=A+B ; A(A’+B)=AB A’’=A; (A+B)’=A’B’ ; (AB)’=A’+B’ Demorgan’s theorems (A1+A2+…+Ai…+An )’= A1 ’•A2 ’•…•Ai ’•…•An ’ ( A1 •A2 •…•Ai •…•An )’ =A1 ’+A2 ’+…+Ai ’+…+An ’ AB+AB’=A ; (A+B)(A+B’)=A AB+A’C+BC=AB+A’C ; (A+B)(A’+C)(B+C)=(A+B)(A’+C)
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