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The output of the following circuit is equivalent to which gate?

What is the output $Y$ in the following circuit, when all the three inputs $A, B, C$ are first '$0$' and then '$1$'?

The following configuration of logic gates is equivalent to

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Find the correct combination of $A, B, C$ and $D$ inputs which can cause the $LED$ to glow.

Each of the two inputs $A$ and $B$ can assume values either $0$ or $1$. Then which of the following will be equal to $\bar{A} \cdot \bar{B}$?

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