Question 99

Computer Awareness Boolean algebra Easy

The Boolean expression represented by the following Venn diagram is:

a b

(A) a XOR b
(B) a'b + ab
(C) ab + a'b'
(D) (a + b')(a' + b)
View Dynamic Solution & Explanation
Correct Solution: Option C

Step-by-step Solution:

Solution

Observation from the diagram:

  • The region outside both circles is shaded.
  • The overlapping (intersection) region of a and b is shaded.
  • The non-overlapping parts of the circles are not shaded.

Step 1: Identify shaded regions

Shaded regions =
• Intersection of a and b → ab
• Outside both a and b → a'b'

Therefore,
Expression = ab + a'b'