Boolean Algebra | Logic Simplification MCQs

16. The simplified form of the boolean expression

$Y=(\overline{A}BC+D)(\overline{A}D+\overline{B}\,\overline{C})$ can be written as

1. $\overline{A}D+\overline{B}\,\overline{C}D$
2. $AD + B\overline{C}D$
3. $(\overline{A}+D)(\overline{B}C+\overline{D})$
4. $A\overline{D}+BC\overline{D}$

17. The boolean expression $AB+\overline{A}\,\overline{B}$ is logically equivalent to which of the following?

$Y=(\overline{A}BC+D)(\overline{A}D+\overline{B}\,\overline{C})$ can be written as

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

Select the correct answer using the code given below:

1. 1 and 2 only
2. 2 and 3 only
3. 1 and 3 only
4. none of these

18. The function $F=AB\overline{C}+ABC+\overline{A}BC+\overline{A}B\overline{C}$; can be reduced to which one of the following?

1. F=A
2. F=AB
3. F=ABC
4. F=B

19. The boolean function A+BC is a reduced form which one of the following?

1. AB+BC
2. $\overline{A}B+A\overline{B}C$
3. (A+B)(A+C)
4. None of these

20. What does the boolean expression

$AD+ABCD+ACD+\overline{A}B+A\overline{C}D+\overline{A}\,\overline{B}$, on minimization result into?

1. A+D
2. $AD+\overline{A}$
3. AD
4. $\overline{A}+D$