Topic: Digital Electronics
If a counter having 10 flip-flops is initially at 0, what count will it hold after 2060 pulses?
- A. 000 000 1100
- B. 000 001 1100
- C. 000 001 1000
- D. 000 000 1110
Answer: A. 000 000 1100
Explanation: A 10 flip-flop counter counts from 0 up to $2^{10}-1 = 1023$, and resets on the $1024^{\text{th}}$ clock pulse.
At the $1024^{\text{th}}$ pulse, the count is 00 0000 0000.
At the $2048^{\text{th}}$ pulse, the count is 00 0000 0000.
The distance between the $2060^{\text{th}}$ clock pulse and the $2048^{\text{th}}$ clock pulse is $2060 - 2048 = 12$.
So, it will count 12 clock pulses from zero, which corresponds to binary 1100. Thus the counter state is 00 0000 1100.