First slide

Logic gates

Question

The combination of gates shown in figure is equivalent to

Moderate

A

AND gate
B

NAND gate
C

NOR gate
D

OR gate

Solution

$\begin{array}{l} Y_{1} = \bar{A + B}, Y_{2} = \bar{Y_{1} . Y_{1}} = \bar{Y_{1}} = \bar{\bar{A + B}} = A + B \\ ∴ Y = \bar{Y_{2}} = \bar{A + B} \Rightarrow NOR gate \end{array}$

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