1. Select the boolean expression that is not equivalent to x.x + x.x’
- x .(x + x’)
- (x + x’).x
- x’
- x
Answer : 3)
2. Select the expression which is equivalent to x.y + x.y.z
- x.y
- x.z
- y.z
- x.y.z
Answer : 1)
Java MCQ Set-1 Explanation
3. Select the expression which is equivalent to (x+y).(x+y’)
- y
- y’
- x
- x’
Answer : 3)
4. Select the expression which is not equivalent to x.(x’+y)+y
- x.x’+y.(1+x)
- 0+x.y+y
- x.y
- y
Answer : 3)
Java MCQ Set-1 Explanation
5. Which of the following relationship represents the dual of the Boolean property x+x’y = x+y ?
- x’(x+y’) = x’y’
- x(x’y) = xy
- x.x’ +y = xy
- x’(xy’) = x’y’
- x(x’ + y) = xy
Answer : 5)
6. An equivalent representation for the Boolean expression A’ + 1 is:
- A
- A’
- 0
- 1
Answer : 4)
7. Simplify the Boolean expression (A+B+C) (D+E)’ + (A+B+C) (D+E) and predict the output:
- A+B+C
- D+E
- A’B’C’
- D’E’
- None of the above
Answer : 1)
8. Express the following Boolean function in sum of min-term canonical form:
- f (A,B,C ) = ∑ m(1,3,5,6)
- f (A,B,C ) = ∑ m(1,2,5,7)
- f (A,B,C ) = ∑ m(2,5,6,7)
- f (A,B,C ) = ∑ m(1,2,4,5)
Answer : 2)
9. State which of the following are logical statements :
- Try to run fast.
- Do not tell a lie.
- India is the world T20 cricket champion
- Why did you come late?
Answer : 3)
10. What is the duality of the following expression (A + 0).(A.1.A’):
- (A .1) + (A+0+A’)
- (A.1).(A+0+A’)
- (A+1)+(A.0.A)
- (A.0)+(A+0+A’)
Answer : 1)