What will be the number of states when a MOD-2 counter is followed by a MOD-5…
2019
What will be the number of states when a MOD-2 counter is followed by a MOD-5 counter?
- A.
5
- B.
10
- C.
15
- D.
20
Attempted by 332 students.
Show answer & explanation
Correct answer: B
Key idea: when counters are cascaded, the total number of distinct states is the product of their moduli.
A MOD-2 counter has 2 distinct states.
A MOD-5 counter has 5 distinct states.
When combined (cascaded), each overall state is an ordered pair consisting of the state of the MOD-2 counter and the state of the MOD-5 counter, so the total number of states is 2 × 5.
Example combined states include (0,0), (0,1), …, (0,4), (1,0), (1,1), …, (1,4), giving 10 distinct pairs.
Answer: 10
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