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A divide by 50 counter can be realized by using
1. 5 number of MOD 10 counter
2. 10 number of MOD 10 counter
3. One MOD-5 counter followed by one MOD-10 counter
4. 10 number of MOD 5 counter

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Correct Answer - Option 3 : One MOD-5 counter followed by one MOD-10 counter

In general, a divide by M×N counter can be realized by using the MOD-M counter followed by the MOD-N counter.

Divide by 50 counter can be realized by using one MOD-5 counter followed by one MOD-10 counter or vice versa.

Analysis: For a MOD-5 counter followed by a MOD-10 counter:

  • The count of the MOD-5 counter will be incremented with each pulse of the incoming signal and will overflow for every 5 counts of such pulses.
  • The MOD-10 counter will be incremented with each time that the MOD-5 counter overflows.
  • The MOD-10 counter will overflow after every 10 of its counts.
∴ MOD-10 counter will overflow after every 5 × 10 = 50 pulses of the incoming signal.

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