Question

De Morgan's Law states that?

a) (AB)' = A' + B'
b) (A+B)' = A' * B
c) (AB)' = A' + B
d) (AB)' = A + B

Answer 1

De Morgan's Law states that (AB)' is equal to A' + B', which means the complement of a conjunction is the disjunction of the complements. The correct answer is a) (AB)' = A' + B'.

Step-by-step explanation:

De Morgan's Law states that the complement of a conjunction (AND operation) of two variables is equivalent to the disjunction (OR operation) of each variable's complement. Specifically, for two variables A and B, De Morgan's Law is represented as (AB)' = A' + B'. Therefore, the correct answer to the question is a) (AB)' = A' + B'.

It's also worth noting in general mathematical operations such as addition and multiplication of numbers or vectors, the commutative and distributive laws apply. For example, the addition of ordinary numbers is commutative (A+B=B+A), and the product of two independent events in probability is the product of their individual probabilities (P(AB) = P(A)P(B) when A and B are independent).