Boolean Algebra | Logic Simplification MCQs

21. The boolean expression

$\overline{Y}\,\overline{Z}+\overline{X}\,\overline{Z}+\overline{X}\,\overline{Y}$

is logically equivalent to

1. $YZ+\overline{X}$
2. $YZX+\overline{X}\,\overline{Y}\,\overline{Z}$
3. YZ+XZ+XY
4. $X\overline{Y}\,\overline{Z}+\overline{X}\,\overline{Y}\,\overline{Z}+\overline{X}Y\overline{Z}+\overline{X}\,\overline{Y}Z$

22. The boolean expression

$ABCD+A\overline{B}CD+ABC\overline{D}A\overline{B}C\overline{D}$

is logically equivalent to

1. A
2. AC
3. ABC
4. 1

23. What is the simplified form of the boolean expression

$T=(X+Y)(X+\overline{Y})(\overline{X}+Y)$?

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

24. The Boolean expression A + B + C is

1. a sum term
2. a literal term
3. an inverse term
4. a product term

25. According to the associative law of addition,

1. A + B = B + A
2. A = A + A
3. (A + B) + C = A + (B + C )
4. A + 0 = A