Boolean Algebra
Boolean algebra is the category of algebra in which the variable’s values are the truth values, true and false ordinarily denoted 1 and 0 respectively. It is used to analyze and simplify digital circuits or digital gets. Boolean Algebra Operations Conjunction or AND A B A ∧ B 1 1 1 1 0 0 0 1 0 0 0 0 Disjunction or OR A B A V B 1 1 1 1 0 1 0 1 1 0 0 0 Negation or NOT A ㄱA 1 0 0 1 Laws of Boolean Algebra Commutative law AB = BA A+B = B+A Associative law (AB)C = A(BC) (A+B) +C = A+(B+C) Distributive law A(B+C) = (AB) + (AC) A+(BC) = (A+B) (A+C) AND law A0 = 0 A1 = A AA = A AA’ = 0 OR law A +...