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← GATE CSE 1987

Q13-a

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The below figure shows four D\text{D}-type flip-flops connected as a shift register using a XOR\text{XOR} gate. The initial state and three subsequent states for three clock pulses are also given.

Figure 1

StateQAQBQCQDInitial1111After the first clock0111After the second clock0011After the third clock0001\begin{array}{|l|c|c|c|c|} \hline \text{State} & Q_{A} & Q_{B} & Q_{C} & Q_{D} \\\hline \text{Initial} & 1 & 1 & 1 & 1 \\ \text{After the first clock} & 0 & 1 & 1 & 1 \\ \text{After the second clock} & 0 & 0 & 1 & 1 \\ \text{After the third clock} & 0 & 0 & 0 & 1 \\\hline \end{array}

The state QAQBQCQDQ_{A} Q_{B} Q_{C} Q_{D} after the fourth clock pulse is

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