Q.
Which logic gate is represented by the following combination of logic gates?
NTA AbhyasNTA Abhyas 2022
Solution:
$y_{1}=\overset{-}{A}, \, y_{2}=\overset{-}{B}$
$y = \bar{y_{1} + y_{2}} = \bar{\bar{A} + \bar{B}}$
Using De-Morgan's theorem
$y = \bar{\bar{A} + \bar{B}} = A \, . \, B$
Truth table:
A B $y_{1}$ $y_{2}$ y 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1
| A | B | $y_{1}$ | $y_{2}$ | y |
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 | 1 |