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12 MHz clock frequency is applied to a cascaded counter of modulus-3 counter, modulus-4 counter, and modulus-5 counter. Determine the output frequency.
- a)4 MHz
- b)3 MHz
- c)1 MHz
- d)200 KHz
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
12 MHz clock frequency is applied to a cascaded counter of modulus-3 c...
Modulus of cascaded counter,
= 60
So, frequency of the output signal
= 200 KHz
= 60
So, frequency of the output signal
= 200 KHz
Most Upvoted Answer
12 MHz clock frequency is applied to a cascaded counter of modulus-3 c...
Given information:
- Clock frequency = 12 MHz
- Cascaded counters:
- Modulus-3 counter
- Modulus-4 counter
- Modulus-5 counter
To find: Output frequency of the cascaded counters.
Explanation:
1. Modulus-3 counter:
- The modulus of a counter represents the number of states it can go through before resetting.
- In a modulus-3 counter, there are 3 states (0, 1, 2) before resetting.
- The output frequency of a modulus-3 counter is equal to the clock frequency divided by the modulus.
- Therefore, the output frequency of the modulus-3 counter is 12 MHz / 3 = 4 MHz.
2. Modulus-4 counter:
- Similar to the modulus-3 counter, a modulus-4 counter has 4 states (0, 1, 2, 3) before resetting.
- The output frequency of a modulus-4 counter is 12 MHz / 4 = 3 MHz.
3. Modulus-5 counter:
- A modulus-5 counter has 5 states (0, 1, 2, 3, 4) before resetting.
- The output frequency of a modulus-5 counter is 12 MHz / 5 = 2.4 MHz.
4. Cascaded counters:
- When cascading counters, the output of one counter is connected to the clock input of the next counter.
- The output frequency of the cascaded counters is determined by the slowest counter in the cascade.
- In this case, the modulus-5 counter has the slowest output frequency of 2.4 MHz.
- Therefore, the output frequency of the cascaded counters is 2.4 MHz or 240 KHz.
Conclusion:
The output frequency of the cascaded counters is 240 KHz, which corresponds to option D.
- Clock frequency = 12 MHz
- Cascaded counters:
- Modulus-3 counter
- Modulus-4 counter
- Modulus-5 counter
To find: Output frequency of the cascaded counters.
Explanation:
1. Modulus-3 counter:
- The modulus of a counter represents the number of states it can go through before resetting.
- In a modulus-3 counter, there are 3 states (0, 1, 2) before resetting.
- The output frequency of a modulus-3 counter is equal to the clock frequency divided by the modulus.
- Therefore, the output frequency of the modulus-3 counter is 12 MHz / 3 = 4 MHz.
2. Modulus-4 counter:
- Similar to the modulus-3 counter, a modulus-4 counter has 4 states (0, 1, 2, 3) before resetting.
- The output frequency of a modulus-4 counter is 12 MHz / 4 = 3 MHz.
3. Modulus-5 counter:
- A modulus-5 counter has 5 states (0, 1, 2, 3, 4) before resetting.
- The output frequency of a modulus-5 counter is 12 MHz / 5 = 2.4 MHz.
4. Cascaded counters:
- When cascading counters, the output of one counter is connected to the clock input of the next counter.
- The output frequency of the cascaded counters is determined by the slowest counter in the cascade.
- In this case, the modulus-5 counter has the slowest output frequency of 2.4 MHz.
- Therefore, the output frequency of the cascaded counters is 2.4 MHz or 240 KHz.
Conclusion:
The output frequency of the cascaded counters is 240 KHz, which corresponds to option D.
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12 MHz clock frequency is applied to a cascaded counter of modulus-3 counter, modulus-4 counter, and modulus-5 counter. Determine the output frequency.a)4 MHzb)3 MHzc)1 MHzd)200 KHzCorrect answer is option 'D'. Can you explain this answer?
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