Question

I have a question about binary counters. If the is a k-bit counter, what happens if you increment the counter 2^k times? Will it reset and go back to 0?

Answer 1

Yes, they work in modular arithmetic, like a clock resetting to 1 after passing 12.
You can see a nice simulation using this application:
http://logic.ly/demo/
Pick 'Ripple Counter' out of the examples and click the buttons as the labels tell.
Notice it has 4 bits, so the value is shown using a single hexadecimal digit

Answer 2

Thank you!!

Answer 3

You're welcome =)