This problem involves analyzing logic gates to find the circuit that produces the same output.
Step 1: Analyze the given circuit. Identify the types of logic gates and their connections (AND, OR, NOT, etc.).
Step 2: Write the logic expression for the output based on the given circuit.
Step 3: Simplify the expression and compare it with the options provided.
Final Conclusion:
The circuit corresponding to Option (2) produces the same output as the given circuit.