To solve this problem, we need to analyze the given logic gate circuit.$\\$1. Identify the gates:$\\$• The circuit consists of two NOT gates, two AND gates, and one OR gate.$\\$2. Analyze the circuit:$\\$• The input $A$ is connected to a NOT gate, producing $\overline{A}. \\$• The input $B$ is connected to another NOT gate, producing $\overline{B}. \\$3. Determine the inputs to the AND gates:$\\$• The first AND gate has inputs $A$ and $\overline{B},$ producing $A \overline{B}. \\$• The second AND gate has inputs $\overline{A}$ and $B,$ producing $\overline{A} B. \\$4. Determine the output of the OR gate:$\\$• The OR gate combines the outputs of the two AND gates:$\\ Y = A \overline{B} + \overline{A} B \\$This expression is the output $Y$ in terms of inputs $A$ and $B. \\$Therefore, the correct option is Option 2: $A \overline{B} + \overline{A} B.$