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(A) To determine which gate gives an output of $0$ for inputs $A=0$ and $B=1$,we analyze the truth tables for each option:$1$. $AND$ gate: The output

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$AND$ gate

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(A) To determine which gate gives an output of $0$ for inputs $A=0$ and $B=1$,we analyze the truth tables for each option:$1$. $AND$ gate: The output $Y = A \cdot B$. For $A=0, B=1$,$Y = 0 \cdot 1 = 0$. This matches the condition.$2$. $OR$ gate: The output $Y = A + B$. For $A=0, B=1$,$Y = 0 + 1 = 1$.$3$. $X$-$OR$ gate: The output $Y = A \oplus B$. For $A=0, B=1$,$Y = 0 \oplus 1 = 1$.$4$. $NAND$ gate: The output $Y = \overline{A \cdot B}$. For $A=0, B=1$,$Y = \overline{0 \cdot 1} = \overline{0} = 1$.Thus,the $AND$ gate provides an output of $0$ when $A=0$ and $B=1$.

When $A=0$ and $B=1$,the output is $0$ for

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