Three T flip flops are connected to form a counter. The maximum states possible for the counter will be:a)5b)3c)8d)7Correct answer is option 'C'. Can you explain this answer? - EduRev Electrical Engineering (EE) Question

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Three T flip flops are connected to form a counter. The maximum states possible for the counter will be:

a)
5
b)
3
c)
8
d)
7

Correct answer is option 'C'. Can you explain this answer?

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Most Upvoted Answer

Three T flip flops are connected to form a counter. The maximum states...

Concept:

For a counter with ‘n’ flip flops:

The total number of states = 2n (0 to 2n – 1)
The largest number that can be stored in the counter = 2n – 1

To construct a counter with any MOD number, the minimum number flip flops required must satisfy:

Modulus ≤ 2n

Where n is the number of flip-flops and is the minimum value satisfying the above condition.

Calculation:

The total number of states required when n = 3:

23 ≥ 8

The states will vary from (0 to 7)

So the maximum states possible for the counter will be 8.

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Three T flip flops are connected to form a counter. The maximum states...

Understanding T Flip-Flops
T flip-flops are a type of bistable multivibrator that toggle their output state on each clock pulse when their input (T) is high. They are commonly used in counters and frequency dividers.
Counter Configuration
In this scenario, we have three T flip-flops connected in a cascading configuration to form a counter. The number of states that a counter can represent is determined by the number of flip-flops used.
Calculating Maximum States
- Each T flip-flop can be in one of two states: 0 or 1.
- The formula to calculate the maximum number of states (N) for a counter with 'n' flip-flops is given by:
N = 2^n
- For three T flip-flops (n = 3):
N = 2^3 = 8
Conclusion
Thus, with three T flip-flops, the maximum number of states possible for the counter is 8. This means that the counter can count from 0 to 7, representing a total of 8 distinct states.
Correct Answer
The correct answer to the question is indeed option 'C', which states that the maximum states possible for the counter will be 8.

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