Q3Digital Electronics

De Morgan's theorems provide the foundational mathematical rules for simplifying complex Boolean algebraic expressions. The first theorem definitively states that the complement of a logical OR operation (sum) is identical to the logical AND (product) of their separate complements: $(A+B{)}^{\prime }=A^{\prime }\cdot B^{\prime }$. The second theorem mirrors this: $(A\cdot B{)}^{\prime }=A^{\prime }+B^{\prime }$.