DeMorgan's Law states thatQuestion 1Answera.(AB)' = A + Bb.(AB)' = A' + Bc.(AB)' = A' + B'd.(A+B)' = A'* B
Question
DeMorgan's Law states thatQuestion 1Answera.(AB)' = A + Bb.(AB)' = A' + Bc.(AB)' = A' + B'd.(A+B)' = A'* B
Solution
DeMorgan's Law is a fundamental principle in Boolean algebra and it states that:
a. The negation of a conjunction is the disjunction of the negations. In other words, the complement of the product of two variables A and B (AB)' is equal to the sum of the complement of A and the complement of B. So, (AB)' = A' + B'. This means option c is correct.
b. The negation of a disjunction is the conjunction of the negations. In other words, the complement of the sum of two variables A and B (A+B)' is equal to the product of the complement of A and the complement of B. So, (A+B)' = A' * B'. This means option d is correct.
So, the correct answers are options c and d.
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