The output of a NAND gate is shown in the tru | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) $NAND$ gate is a combination of an $AND$ gate followed by a $NOT$ gate.The Boolean expression for a $NAND$ gate is $Y = \overline{A \cdot B}$.Let

Vedclass · Accepted Answer

$S$

Vedclass · Answer

(C) $NAND$ gate is a combination of an $AND$ gate followed by a $NOT$ gate.The Boolean expression for a $NAND$ gate is $Y = \overline{A \cdot B}$.Let us evaluate the output $Y$ for all possible input combinations of $A$ and $B$:$1$. If $A = 0, B = 0$, then $A \cdot B = 0$, so $Y = \overline{0} = 1$.$2$. If $A = 0, B = 1$, then $A \cdot B = 0$, so $Y = \overline{0} = 1$.$3$. If $A = 1, B = 0$, then $A \cdot B = 0$, so $Y = \overline{0} = 1$.$4$. If $A = 1, B = 1$, then $A \cdot B = 1$, so $Y = \overline{1} = 0$.Comparing this with the given tables:- Table $(P)$ represents an $OR$ gate.- Table $(Q)$ represents an $XOR$ gate.- Table $(R)$ represents an $AND$ gate.- Table $(S)$ represents a $NAND$ gate.Thus, the correct truth-table is $(S)$.

The output of a $NAND$ gate is shown in the truth-table ($A$ and $B$ are inputs, $Y$ is output). Identify the correct truth-table.

Similar Questions

The logic relation is given by $Y = \bar{A} \cdot B + A \cdot \bar{B}$. Construct this gate using $AND$,$OR$,and $NOT$ gates.

In the following circuit,what are $P$ and $Q$?

Which logic gate is represented by the following symbol?

The following diagram performs the logic function of:

Which of the following represents a universal gate?

Vedclass Test Series

Exam Paper Generator

Online Exam Module