Question

Which of the following gate corresponds to the truth table given below?

$\begin{array}{ccc}A& B& Y\\ 0& 0& 1\\ 0& 1& 1\\ 1& 0& 1\\ 1& 1& 0\end{array}$

• A. AND
• B. OR
• C. XOR
• D. NAND

Answer 1

The correct option is D NAND

Let us check each option.

a. AND GATE


The output is 1 only when both A and B have value 1, otherwise the output is 0.
Hence the truth table for AND gate can be represented as:


b. OR GATE


If either one of A and B is 1, then the output of the OR gate is 1 otherwise the output is 0.
Hence the truth table for OR gate can be represented as:


c. XOR GATE


Output $\left(Y\right)=A.\overline{B}+\overline{A}.B$
where the ${}^{\prime }{.}^{\prime }$ represents AND and ${}^{\prime }{+}^{\prime }$ represents OR.
Hence the truth table for XOR gate can be represented as:


d. NAND GATE


Output $\left(Y\right)=\overline{A.B}$. We can represent the truth table of NAND gate as


Hence only option D matches with the table given in the question.