A 4-bit ripple UP counter is having a count 0110. What will be the count after 20 clock pulsesa.0101b.1111c.0100d.1010
Question
A 4-bit ripple UP counter is having a count 0110.
What will be the count after 20 clock pulses?
Options:
- a. 0101
- b. 1111
- c. 0100
- d. 1010
Solution
The current count is 0110 which is 6 in decimal. After 20 clock pulses, the count will be 6 + 20 = 26. However, a 4-bit counter can only hold values from 0 to 15 (2^4 - 1). So, when it reaches 16, it will roll over and start from 0 again.
So, we need to find out what the counter will be after it rolls over. This can be done by finding the remainder of 26 divided by 16 (the maximum count + 1).
26 mod 16 = 10
So, the counter will be at 10 after 20 clock pulses.
10 in binary (4-bit) is 1010.
So, the answer is d. 1010.
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