Boolean Algebra | Logic Simplification MCQs

1. The boolean expression X=B+A\overline{B}+AB is equivalent to

  1. A+B
  2. \overline{A}B
  3. \overline{A+B}
  4. AB

Answer
Answer. a

2. The Boolean expression X = (A + B)(C + D) represents

  1. two ORs ANDed together
  2. two ANDs ORed together
  3. A 4-input AND gate
  4. a 4-input OR gate

Answer
Answer. a

3. Which of the following boolean expressions is ‘NOT TRUE’?

  1. A + 1 = A
  2. A + \overline{A}=1
  3. A.A = A
  4. A.\overline{A}=0

Answer
Answer. a

4. The complement form of A(B+C)(\overline{C}+\overline{D}) is

  1. A + \overline{B}\,\overline{C}+\overline{D}C=1
  2. A +BC + CD
  3. A + BC
  4. \overline{A} + \overline{B}\,\overline{C}+CD

Answer
Answer. d

5. The simplified form of the boolean expression \overline{A} + A\overline{B} is

  1. A + B
  2. A +\overline{B}
  3. \overline{B} + A
  4. \overline{A} + \overline{B}

Answer
Answer. d

6. If A and B are boolean variables, then what is (A + B).( A + \overline{B}) is

  1. B
  2. A
  3. A + B
  4. AB

Answer
Answer. b

7. What is the boolean expression A ⊕ B equivalent to?

  1. AB+ \overline{A}\,\overline{B}
  2. \overline{A}B + A\overline{B}
  3. B
  4. \overline{A}

Answer
Answer. b

8. If x and y are boolean variables, which one of the following is the equivalent of  x ⊕ y ⊕ xy equivalent to?

  1. x+\overline{y}
  2. x + y
  3. 0
  4. 1

Answer
Answer. b

9. Which of the following boolean algebra rules is correct?

  1. A.\overline{A}=1
  2. A + AB = A + B
  3. A + \overline{A}B = A + B
  4. A(A+B) = B

Answer
Answer. c

10. The simplified logic form of a logic function

Y=\overline{(\overline{A\overline{B}})(\overline{\overline{A}B})}

  1. A + B
  2. AB
  3. \overline{A}+\overline{B}
  4. \overline{A}B + A\overline{B}

Answer
Answer. d

11. The boolean expression Y=AB+ (A+B)(\overline{A}+B) may be simplified as

  1. Y = A
  2. Y = \overline{A}
  3. Y = B
  4. Y = \overline{B}

Answer
Answer. c

12. The reduced form of the boolean expression

A[B+C(\overline{AB + AC})] is

  1. \overline{A}B
  2. A\overline{B}
  3. AB
  4. AB+B\overline{C}

Answer
Answer. c

13. Which one of the following statements is not correct?

  1. X+\overline{X}Y = X
  2. X(\overline{X}+Y) = XY
  3. XY + \overline{X}\,\overline{Y} = X
  4. ZX + Z\overline{X}Y = ZX + ZY

Answer
Answer. a

14. In boolean algebra, if F = (A+B)(\overline{A}+C) then

  1. F = AB + \overline{A}C
  2. F = AB + \overline{A}\,\overline{B}
  3. F = AC + \overline{A}B
  4. F = A\overline{A}+\overline{A}B

Answer
Answer. c

15. The expression (X+Y)(X+\overline{Y})(\overline{X}+Y) is equivalent to

  1. \overline{X}\,\overline{Y}
  2. \overline{X}Y
  3. X\overline{Y}
  4. XY

Answer
Answer. d

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