The output Y for the given inputs A and B to the circuit is:

Step-by-step solution

From the circuit: Top AND gate output: A B Bottom AND gate output: A B (the A input passes through a NOT gate) The OR gate combines these: Y = (A B) + ( A B) Factoring out B : Y = B (A + A ) Using A + A = 1 : Y = B 1 = B So Y is independent of A and follows B exactly. Reading the input waveform of B : From t = 0 to t = 1 s : B = 1 From t = 1 to t = 2 s : B = 1 From t = 2 to t = 3 s : B = 0 Hence, Y is 1 from 0 to 2 s and 0 from 2 to 3 s . This matches the waveform shown in option (2) . Hence, the correct option is