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Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.
- a)12.5 MHz
- b)6.25 MHz
- c)5.56 MHz
- d)16.67 MHz
Correct answer is option 'C'. Can you explain this answer?
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Calculate the maximum clock frequency at which a 4-bit asynchronous co...
To calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably, we need to consider the propagation delay of each flip-flop and the width of the strobe pulse.
Propagation Delay Calculation:
The propagation delay of each flip-flop is given as 40 ns. Since there are four flip-flops in the 4-bit asynchronous counter, the total propagation delay of the counter is 4 * 40 ns = 160 ns.
Maximum Clock Frequency Calculation:
The maximum clock frequency can be calculated using the formula:
Maximum Clock Frequency = 1 / (Total Propagation Delay + Strobe Pulse Width)
In this case, the total propagation delay is 160 ns and the width of the strobe pulse is 20 ns.
Maximum Clock Frequency = 1 / (160 ns + 20 ns)
Maximum Clock Frequency = 1 / 180 ns
Maximum Clock Frequency ≈ 5.56 MHz
Therefore, the maximum clock frequency at which a 4-bit asynchronous counter can work reliably is approximately 5.56 MHz.
Propagation Delay Calculation:
The propagation delay of each flip-flop is given as 40 ns. Since there are four flip-flops in the 4-bit asynchronous counter, the total propagation delay of the counter is 4 * 40 ns = 160 ns.
Maximum Clock Frequency Calculation:
The maximum clock frequency can be calculated using the formula:
Maximum Clock Frequency = 1 / (Total Propagation Delay + Strobe Pulse Width)
In this case, the total propagation delay is 160 ns and the width of the strobe pulse is 20 ns.
Maximum Clock Frequency = 1 / (160 ns + 20 ns)
Maximum Clock Frequency = 1 / 180 ns
Maximum Clock Frequency ≈ 5.56 MHz
Therefore, the maximum clock frequency at which a 4-bit asynchronous counter can work reliably is approximately 5.56 MHz.
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Calculate the maximum clock frequency at which a 4-bit asynchronous co...
Concept:
- Lockout free condition: If a counter from an unused state enters one of the used states then the counter is called lock-out free. While taking any unused state as the initial state if the next state comes out to be a used state, the counter is said to be lockout free.
- Synchronous counter: A counter in which all the flip-flops are triggered with the same clock pulse. In such counters, if the propagation delay of one flip-flop is tf, then the propagation delay for the whole counter will also be tf
- Asynchronous counter: A counter in which all the flip flops are not triggered by the same clock pulse. In such counters, total propagation delay will be equal to the sum of propagation delay for all flip flops.
Calculation:
Given that, propagation delay of each flip-flop = 40 ns
Width of the strobe pulse = 20 ns
Total propagation delay = 40 × 4 + 20 = 180 ns
Maximum clock frequency
Given that, propagation delay of each flip-flop = 40 ns
Width of the strobe pulse = 20 ns
Total propagation delay = 40 × 4 + 20 = 180 ns
Maximum clock frequency
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Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.a)12.5 MHzb)6.25 MHzc)5.56 MHzd)16.67 MHzCorrect answer is option 'C'. Can you explain this answer?
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Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.a)12.5 MHzb)6.25 MHzc)5.56 MHzd)16.67 MHzCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.a)12.5 MHzb)6.25 MHzc)5.56 MHzd)16.67 MHzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.a)12.5 MHzb)6.25 MHzc)5.56 MHzd)16.67 MHzCorrect answer is option 'C'. Can you explain this answer?.
Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.a)12.5 MHzb)6.25 MHzc)5.56 MHzd)16.67 MHzCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.a)12.5 MHzb)6.25 MHzc)5.56 MHzd)16.67 MHzCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the maximum clock frequency at which a 4-bit asynchronous counter can work reliably. Assume the propagation delay of each flip-flop to be 40 ns and the width of the strobe pulse to be 20 ns.a)12.5 MHzb)6.25 MHzc)5.56 MHzd)16.67 MHzCorrect answer is option 'C'. Can you explain this answer?.
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