First slide

Logic gates

Question

Following diagram performs the logic function of

Moderate

A

XOR gate
B

AND gate
C

NAND gate
D

OR gate

Solution

$\begin{array}{l} X = \bar{A . B} \\ ∴ Y = \bar{X} = \bar{\bar{A . B}} \\ Y = A . B by Demorgan theorem \end{array}$
$∴$ This diagram performs the function of AND gate

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