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 that
Question 1
Answer
a. (AB)' = A + B
b. (AB)' = A' + B
c. (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.
Similar Questions
DeMorgan's Law states thatQuestion 1Answera.(AB)' = A + Bb.(AB)' = A' + Bc.(AB)' = A' + B'd.(A+B)' = A'* B
The boolean expression A · B represents which of the following:Question 8Select one:a.A AND Bb.A OR Bc.A AND NOT Bd.A NAND B
2) What is the simplest Boolean expression equivalent to A’B’C + ABC’?A) A’CB) A’ + CC) A’C’D) AC
Either the left or right operand must be true describes the _____ Boolean operator. A. OR B. OPTIONAL C. NOT D. AND
De Morgan's law is used in finding the equivalence of a logic expression using other logical functions.Question 11Select one:TrueFalse
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.