Boolean Algebra (Binary Logic)
Boolean Algebra ( binary logic ). Theorem A+0=A A*0=0. A+1=1 A*1=A. A+A=A A*A=A. A + A' = 1 A * A' = 0. A+B=B+A A*B=B*A. (A + B) + C = A + (B + C) (A * B) * C = A * (B * C). AB + AC = A(B + C) (A + B)*(A. B) (A + C) = A + BC. Boolean Algebra ( binary logic ). A'B' + A'B + AB = A' + B = Z. A'. B' =>. A' A'. Z Z. B B. A. B. A+0=A A*0=0. A+1=1 A*1=A. A+A=A A*A=A. A + A' = 1 A * A' = 0. A+B=B+A A*B=B*A. (A + B) + C = A + (B + C) (A * B) * C = A * (B * C). AB + AC = A(B + C) (A + B)*(A + C) = A + BC. Boolean Algebra ( binary logic ). More Theorem (DeMorgan). (A + B)' = A' * B'. Boolean Algebra ( binary logic ). More Theorem (DeMorgan). (A + B)' = A' * B' (A * B)' = A' + B'. Boolean Algebra ( binary logic ). More Theorem (DeMorgan). (A + B)' = A' * B' (A * B)' = A' + B'. A A. B B. AB + AC AB + AC. A A. C C. Boolean Algebra ( binary logic ).
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