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Determine the output frequency of the given circuit if the input CLK frequency is 1 MHz.
- a)0.5 MHz
- b)250 kHz
- c)4 MHz
- d)1 KHz
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Determine the output frequency of the given circuit if the input CLK f...
Concept:
T flip-flop
The truth table of the T flip-flop is given by:
The characteristic table of the T flip-flop is:
The characteristic equation of the T flip-flop is:
Q(t + 1) = T ⊕ Q(t)
Analysis:
From the given circuit two flip-flops are present and the Q1’ output is connected to the input of the second flip-flop.
T2 = Q1’
Given circuit is an example of the Down counter.
The below figure represents the waveforms for the respective clock edges.
The flip-flop2 will trigger only when the Q1’ is going from 0 to 1, i.e., positive triggering of the Q1’.
In the output is Q1 the total time period is 4 times that of the clock (4T).
Conclusion:
As the time period is 4 times then the frequency will be divided by four times.
fout = 0.25 MHz = 250 kHz
Most Upvoted Answer
Determine the output frequency of the given circuit if the input CLK f...
Concept:
T flip-flop
The truth table of the T flip-flop is given by:
The characteristic table of the T flip-flop is:
The characteristic equation of the T flip-flop is:
Q(t + 1) = T ⊕ Q(t)
Analysis:
From the given circuit two flip-flops are present and the Q1’ output is connected to the input of the second flip-flop.
T2 = Q1’
Given circuit is an example of the Down counter.
The below figure represents the waveforms for the respective clock edges.
The flip-flop2 will trigger only when the Q1’ is going from 0 to 1, i.e., positive triggering of the Q1’.
In the output is Q1 the total time period is 4 times that of the clock (4T).
Conclusion:
As the time period is 4 times then the frequency will be divided by four times.
fout = 0.25 MHz = 250 kHz
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