To solve this problem, we need to analyze the given digital circuit. The circuit consists of two AND gates and one OR gate.$\\$1. Identify the logic gates:$\\$• The first AND gate takes inputs $A$ and $B. \\$• The second AND gate takes inputs $B$ and $C. \\$• The OR gate takes the outputs of the two AND gates as inputs and produces the final output $Y. \\$2. Analyze the input waveforms:$\\$• At $t_1: A = 0, B = 0, C = 0 \\$• At $t_2: A = 1, B = 1, C = 0 \\$• At $t_3: A = 0, B = 1, C = 1 \\$• At $t_4: A = 1, B = 1, C = 1 \\$• At $t_5: A = 0, B = 0, C = 1 \\$• At $t_6: A = 1, B = 0, C = 0 \\$3. Determine the output of each gate at each time interval:$\\$• For the first AND gate (inputs $A$ and $B$)$: \\$ - At $t_1: 0 \land 0 = 0 \\$ - At $t_2: 1 \land 1 = 1 \\$ - At $t_3: 0 \land 1 = 0 \\$ - At $t_4: 1 \land 1 = 1 \\$ - At $t_5: 0 \land 0 = 0 \\$ - At $t_6: 1 \land 0 = 0 \\$• For the second AND gate (inputs $B$ and $C$):$\\$ - At $t_1: 0 \land 0 = 0 \\$ - At $t_2: 1 \land 0 = 0 \\$ - At $t_3: 1 \land 1 = 1 \\$ - At $t_4: 1 \land 1 = 1 \\$ - At $t_5: 0 \land 1 = 0 \\$ - At $t_6: 0 \land 0 = 0 \\$4. Determine the output of the OR gate:$\\$• The OR gate takes the outputs of the two AND gates:$\\$ - At $t_1: 0 \lor 0 = 0 \\$ - At $t_2: 1 \lor 0 = 1 \\$ - At $t_3: 0 \lor 1 = 1 \\$ - At $t_4: 1 \lor 1 = 1 \\$ - At $t_5: 0 \lor 0 = 0 \\$ - At $t_6: 0 \lor 0 = 0 \\$5. Conclusion:$\\$The output at terminal $Y$ is high (5V) at $t_2, t_3,$ and $t_4$, and low (0V) at $t_1, t_5,$ and $t_6. \\$This corresponds to Option 3.