Discussion
In a 4-bit asynchronous counter, the initial output is 0000. In how many counts the output will become 0100?
Answer: D
A 4 bit counter counts in the binary sequence, each count adding one to the previous output. Starting at 0000, the outputs are 0001, 0010, 0011 and then 0100.
\[ 0000 \to 0001 \to 0010 \to 0011 \to 0100 \]
The value 0100 is the decimal number 4, so it takes 4 counts, whether the counter is asynchronous (ripple) or synchronous, since the sequence of the outputs is the same; the difference is in the timing. The answer is 4, option D.
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