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A 4-bit synchronous counter uses flip-flops with a propagation delay time of 15 ns each. The maximum possible time required for change of state will be
- a)15 ns
- b)30 ns
- c)60 ns
- d)none of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A 4-bit synchronous counter uses flip-flops with a propagation delay t...
Introduction:
A synchronous counter is a sequential circuit that counts in a specific sequence and its outputs change simultaneously in response to an input clock signal. This type of counter is commonly used in digital electronics for various applications.
Given Information:
- 4-bit synchronous counter
- Flip-flops with a propagation delay time of 15 ns each
Explanation:
In a synchronous counter, the output of each flip-flop serves as the clock input for the next flip-flop. This ensures that all the flip-flops change state simultaneously, making the counter synchronous. The maximum possible time required for a change of state depends on the propagation delay time of the flip-flops used.
Propagation Delay Time:
Propagation delay time is the time it takes for a change in the input of a flip-flop to be reflected in its output. In this case, the given flip-flops have a propagation delay time of 15 ns each. This means that it takes 15 ns for the output of a flip-flop to change after a change in its input.
Maximum Time for Change of State:
In a 4-bit synchronous counter, all the flip-flops change state simultaneously. The maximum time required for a change of state occurs when the last flip-flop changes state after the first flip-flop. This is because the output of the first flip-flop serves as the clock input for the second flip-flop, and so on.
Since each flip-flop has a propagation delay time of 15 ns, the maximum time required for a change of state in the 4-bit synchronous counter would be equal to the propagation delay time of a single flip-flop. Therefore, the maximum possible time required for a change of state in this case is 15 ns.
Conclusion:
The maximum possible time required for a change of state in a 4-bit synchronous counter using flip-flops with a propagation delay time of 15 ns each is 15 ns.
A synchronous counter is a sequential circuit that counts in a specific sequence and its outputs change simultaneously in response to an input clock signal. This type of counter is commonly used in digital electronics for various applications.
Given Information:
- 4-bit synchronous counter
- Flip-flops with a propagation delay time of 15 ns each
Explanation:
In a synchronous counter, the output of each flip-flop serves as the clock input for the next flip-flop. This ensures that all the flip-flops change state simultaneously, making the counter synchronous. The maximum possible time required for a change of state depends on the propagation delay time of the flip-flops used.
Propagation Delay Time:
Propagation delay time is the time it takes for a change in the input of a flip-flop to be reflected in its output. In this case, the given flip-flops have a propagation delay time of 15 ns each. This means that it takes 15 ns for the output of a flip-flop to change after a change in its input.
Maximum Time for Change of State:
In a 4-bit synchronous counter, all the flip-flops change state simultaneously. The maximum time required for a change of state occurs when the last flip-flop changes state after the first flip-flop. This is because the output of the first flip-flop serves as the clock input for the second flip-flop, and so on.
Since each flip-flop has a propagation delay time of 15 ns, the maximum time required for a change of state in the 4-bit synchronous counter would be equal to the propagation delay time of a single flip-flop. Therefore, the maximum possible time required for a change of state in this case is 15 ns.
Conclusion:
The maximum possible time required for a change of state in a 4-bit synchronous counter using flip-flops with a propagation delay time of 15 ns each is 15 ns.
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Community Answer
A 4-bit synchronous counter uses flip-flops with a propagation delay t...
Concept:
The maximum propagation delay (tpd) for the synchronous counter is given by:
tpd = td
td = Propagation delay of 1 Flip flop.
Calculation:
Given is a 4-bit synchronous counter for which the maximum possible time needed for the change of state will be the maximum possible propagation delay:
tpd = Delay of 1 flip-flop only
tpd = 15 ns
Important Points
Important Points
- In synchronous counters, all flip-flops change simultaneously and in asynchronous counters, the propagation delay of the flip-flops add up to produce the overall delay.
- Although synchronous counters usually have more combinational logic, the propagation delay through these gates is small compared to the propagation delay through many stages of flip-flops.
- So the Synchronous counter will provide the least delay compared to Asynchronous counters.
The maximum propagation delay for an n-bit asynchronous counter is given by:
tpd = n × td
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