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closed as a duplicate of: GATE CSE 2023 | Question: 33

The initial state of a given sequential circuit is $Q_0 Q_1 Q_2=011$. Which of the following state does not occur

  1. $101$
  2. $111$
  3. $001$
  4. $100$
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From the given $3$ state counter made from $T$ flipflops and $D$ flipflops, the next input sequence are as follows:

  • $T_0=\overline Q_2$
  • $D_1=Q_0$
  • $T_2=Q_1$
Initial State Current input Next State
$Q_0$ $Q_1$ $Q_2$ $T_0$ $D_1$ $T_1$ $Q_0^+$ $Q_1^+$ $Q_2^+$
0 1 1 0 0 1 0 0 0
0 0 0 1 0 0 1 0 0
1 0 0 1 1 0 0 1 0
0 1 0 1 0 1 1 0 1
1 0 1 0 1 0 1 1 1
1 1 1 0 1 1 1 1 0
1 1 0 1 1 1 0 1 1

we can see from above table given counter count sequence like $011\rightarrow 000\rightarrow 100\rightarrow 010\rightarrow 101\rightarrow 111\rightarrow 110$. The state $001$ is missing.

Option (C) is correct.

Answer:

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