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Consider the following conditions:


1. tp < Δt


2. Δt < T


3. tp > Δt


4. Δt > T


Where, tp = pulse width,


Δt = propagation delay and


T = clock time period.


The race around condition in the Flip-Flop can be avoided if conditions

  • a)
    1 and 2 are satisfied

  • b)
    1 and 4 are satisfied

  • c)
    2 and 3 are satisfied

  • d)
    3 and 4 are satisfied

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following conditions:1. tp < Δt2. Δt < ...

  • Let the inputs to JK flip flop are J = K = 1 and Q = 0. After the propagation delay Δt, the output will change to Q = 1.

  • Now, we have J = K = 1 and Q = 1 and after another time interval of Δt, the output will change back to Q = 0.

  • Hence, for the duration tp of the clock pulse, the output will oscillate back and forth between 0 and 1.

  • At the end of the clock pulse, the value of Q is uncertain. This situation is referred to as the race around the condition.





Therefore, the race around the condition can be avoided by keeping the propagation delay as tp < Δt < T. 


Note:


For JK flip-flop if J, K, and Clock are equal to 1 the state of flip-flop keeps on toggling which leads to uncertainty in determining the output of the flip-flop. This problem is called Race around the condition.


This can be eliminated by using the following methods.



  • Increasing the delay of flip-flop

  • Use of edge-triggered flip-flop

  • Use of master-slave JK flip flop

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Most Upvoted Answer
Consider the following conditions:1. tp < Δt2. Δt < ...
The race around condition in a Flip-Flop occurs when the output of the Flip-Flop changes multiple times during a single clock cycle, leading to unpredictable behavior and incorrect functionality. To avoid this condition, certain conditions need to be satisfied. Let's analyze each condition given in the question and understand why option 'A' is the correct answer.

1. tp (pulse width):
The pulse width (tp) refers to the duration for which the input signal is active. This condition is necessary to ensure that the input signal is held long enough for the Flip-Flop to capture the correct value. If the pulse width is too short, the Flip-Flop may not have enough time to latch the input correctly.

2. Δt (propagation delay):
Propagation delay (Δt) is the time taken by the Flip-Flop to respond to the input and produce the corresponding output. It is the delay introduced by the internal circuitry of the Flip-Flop. This condition is important because if the propagation delay is too long, it may cause the Flip-Flop to change its output multiple times during a single clock cycle, leading to a race around condition.

3. tp > Δt:
This condition states that the pulse width should be greater than the propagation delay. It ensures that the input signal remains stable for a sufficient amount of time before the Flip-Flop responds to it. If the pulse width is not greater than the propagation delay, the Flip-Flop may respond to intermediate values of the input, causing the race around condition.

4. Δt > T:
This condition states that the propagation delay should be greater than the clock time period (T). If the propagation delay is greater than the clock time period, it may cause the Flip-Flop to respond to the input signal after the clock edge has passed, leading to incorrect output and the race around condition.

Conclusion:
From the given conditions, option 'A' (1 and 2 are satisfied) is the correct answer. This means that for the Flip-Flop to avoid the race around condition, both the pulse width (tp) and the propagation delay (Δt) need to be satisfied. The other conditions (3 and 4) are not sufficient on their own to avoid the race around condition.
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Consider the following conditions:1. tp < Δt2. Δt < T3. tp > Δt4. Δt > TWhere, tp = pulse width,Δt = propagation delay andT = clock time period.The race around condition in the Flip-Flop can be avoided if conditionsa)1 and 2 are satisfiedb)1 and 4 are satisfiedc)2 and 3 are satisfiedd)3 and 4 are satisfiedCorrect answer is option 'A'. Can you explain this answer?
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