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(B) Let us analyze the output for each logic gate:$(A)$ $NAND$ gate with inputs $1$ and $1$: The output of an $AND$ gate is $1 \cdot 1 = 1$. The $NAND

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(B) Let us analyze the output for each logic gate:$(A)$ $NAND$ gate with inputs $1$ and $1$: The output of an $AND$ gate is $1 \cdot 1 = 1$. The $NAND$ gate inverts this, so the output is $0$.$(B)$ $NAND$ gate with inputs $1$ and $0$: The output of an $AND$ gate is $1 \cdot 0 = 0$. The $NAND$ gate inverts this, so the output is $1$.$(C)$ $NOR$ gate with inputs $0$ and $1$: The output of an $OR$ gate is $0 + 1 = 1$. The $NOR$ gate inverts this, so the output is $0$.$(D)$ $XOR$ gate with inputs $0$ and $0$: The output of an $XOR$ gate is $0 \oplus 0 = 0$.Therefore, the logic gate that gives an output of '$1$' is the $NAND$ gate with inputs $1$ and $0$.

Which of the following logic gates will have an output of '$1$' for the given inputs?

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