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Consider the circuit given below with initial state $Q_0=1, Q_1=Q_2=0$. The state of the circuit is given by the value $4Q_2+2Q_1+Q_0$

Which one of the following is correct state sequence of the circuit?

1. 1, 3, 4, 6, 7, 5, 2
2. 1, 2, 5, 3, 7, 6, 4
3. 1, 2, 7, 3, 5, 6, 4
4. 1, 6, 5, 7, 2, 3, 4

Q= Q1prev ⊕ Q2prev Q1 = Q0prev Q2 = Q1prev
1 0 0
0 1 0
1 0 1
1 1 0
1 1 1
0 1 1
0 0 1
1 0 0

State = 4Q2 + 2Q1+Q0
So, state sequence = 1, 2, 5, 3, 7, 6, 4

edited by
0
How to get this table ??
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Table is from the figure. I have now added the formula for each column.
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Thnx .
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what is the significance of state eq. ?? in this question ??
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what does state equation represent ?
0

I got the table, but didn't get this 4Q2 + 2Q1+Q0.

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it is decimal equivalent of binary state.
+1

sir i didnt understand how u apply 4Q2 + 2Q1+Q0 to column please explain .....till the table i understood .....

+8
$Q_0Q_1Q_2 = 100,\;\; \text{state =}\;4\times 0+2\times 0+ 1 = 1$
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It represents the initial state...I think
+1
4Q2 + 2Q1+Q0 WHT IS THE USE OF THIS
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it represents the lsb as q0 and msb as q2 , no other significance
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Use of equation is to distinguish between LSB and MSB.

Q0n = Q1n-1 exor Q2n-1

Q1n = Q0n-1

Q2n = Q1n-1