《数字电》英文版 chapter2 Boolean switching algebra

Basic Cancer R A+AB=A+B R A+AB =A1+A'B (Identity) =A(1+B)+AB (Identity) =A1+AB+A'B (Distributive =A+B(A+A) (Distributive) =A+B1 (identity) =A+B

Basic Concept A+A’B=A+B A+A’B =A1+A’B (Identity) =A(1+B)+A’B (Identity) =A1+AB+A’B (Distributive) =A+B(A’+A) (Distributive) =A+B1 (identity) =A+B

Basic avert R AB+A'C+BC=AB+A'C R AB+A'C+BC =AB+A'C+BC(A+A) = AB+ABC+A'C+A'CB =AB(1+C)+AC(1+B) =AB1+A'C1 =AB+A'C

Basic Concept AB+A’C+BC=AB+A’C ; AB+A’C+BC =AB+A’C+BC(A+A’) =AB+ABC+A’C+A’CB =AB(1+C)+A’C(1+B) =AB1+A’C1 =AB+A’C