Question 92

Computer Awareness Boolean algebra Easy

The Boolean function a + (a̅ b) is equivalent to

(A) a.b
(B) a + b
(C) a.b̅
(D) a̅ + b
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

The given Boolean expression is: \[ A + (\overline{A} B) \] Step 1: Apply Absorption Theorem \[\] Using the Absorption Rule, which states: \[ X + \overline{X} Y = X + Y \] where \( X = A \) and \( Y = B \), we apply this rule: \[ A + (\overline{A} B) = A + B \] Final Answer: \( A + B \)