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Question: 1 / 545

How many states does a 3-bit binary counter have?

3

6

8

A 3-bit binary counter has 8 unique states because each bit can represent two possible values: 0 or 1. The total number of combinations for a binary counter is calculated using the formula \(2^n\), where \(n\) is the number of bits.

For a 3-bit counter, you would perform the calculation as follows:

\[

2^3 = 8

\]

This means that there are 8 different states for a 3-bit binary counter, which are represented in binary as 000, 001, 010, 011, 100, 101, 110, and 111. Each state corresponds to a unique decimal value from 0 to 7. Thus, the correct answer reflects the number of combinations possible with 3 bits, confirming that a 3-bit binary counter can count through a total of 8 states.

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