Question

Which of the following logic gate corresponds to the truth table given below?
$\begin{array}{ccc}\text{A}& \text{B}& \text{Y}\\ 1& 1& 0\\ 1& 0& 1\\ 0& 1& 1\\ 0& 0& 1\end{array}$

• A. $\text{OR}$
• B. $\text{NOR}$
• C. $\text{AND}$
• D. $\text{NAND}$

Answer 1

The correct option is D $\text{NAND}$

Given,

$A$	$B$	$A.B$	$Y=\overline{A.B}$
$1$	$1$	$1$	$0$
$1$	$0$	$0$	$1$
$0$	$1$	$0$	$1$
$0$	$0$	$0$	$1$

From the truth table, we observe that output $Y$ is related as:

$Y=\overline{A.B}$

(Output is the inversion of multiplication of $A$ and $B)$

$\therefore$ The logic function corresponding to truth table is $\text{NAND}$.

Hence, option $\left(D\right)$ is correct.