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Consider a 3-bit counter, designed using T flip-flop, as shown below: Assuming the initial state of the counter given by PQR as 000, what are the next three states?

Consider a 3-bit counter, designed using T flip-flop, as shown below: Assuming the initial state of the counter given by PQR as 000, what are the next three states? Correct Answer 011, 101, 000

Answer: Option 3

Concept:

XOR Operation :

P

Q

P⊕Q

0

0

0

0

1

1

1

0

1

1

1

0

Explanation:

TP = R Hence P+ = R⊕ P

TQ = P̅  Hence Q+ = P̅ ⊕ Q

TR = Q̅ Hence R+ = Q̅ ⊕ R

P

Q

R

P+=R⊕ P

Q+=P̅ ⊕ Q

R+=Q̅ ⊕ R

0

0

0

0

1

1

0

1

1

1

0

1

1

0

1

0

0

0

Next 3 states are 000 → 011 →101 → 000

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