Semiconducting Devices Question 79
Question: What will be the input of A and B for the Boolean expression $ \overline{(A+B)}\cdot \overline{(A\cdot B)}=1 $
[TNPCEE 2002]
Options:
A) 0, 0
B) 0, 1
C) 1, 0
D) 1, 1
Show Answer
Answer:
Correct Answer: A
Solution:
The given Boolean expression can be written as $ Y=(\overline{A+B}).(\overline{A.B})=(\bar{A}.\bar{B}).(\bar{A}+\bar{B})=(\bar{A}\bar{A}).\bar{B}+\bar{A}(\bar{B}.\bar{B}) $
$ =\bar{A}.\bar{B}+\bar{A}\bar{B}=\bar{A}\bar{B} $
| A | B | Y |
| 0 | 0 | 1 |
| 1 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 1 | 0 |
