The maximum count value of a n-bit counter is 2^n - 1.

Here's the step by step explanation:

1. A binary counter is a chip designed to count the number of binary "on" signals it receives (which are represented as '1').

2. The number of bits (n) in a counter determines how many "on" signals it can count.

3. Each bit in a binary number can hold one of two values: 0 or 1.

4. Therefore, a n-bit counter can represent 2^n different values, because each bit can be in two different states (0 or 1).

5. However, since binary counting starts from 0, the maximum count value of a n-bit counter is 2^n - 1.

For example, a 3-bit counter can count up to 2^3 - 1 = 7. The binary representation of 7 in a 3-bit counter is 111.

Question

The maximum count value of a n-bit counter is 2^n - 1.

Here's the step by step explanation:

1. A binary counter is a chip designed to count the number of binary "on" signals it receives (which are represented as '1').

2. The number of bits (n) in a counter determines how many "on" signals it can count.

3. Each bit in a binary number can hold one of two values: 0 or 1.

4. Therefore, a n-bit counter can represent 2^n different values, because each bit can be in two different states (0 or 1).

5. However, since binary counting starts from 0, the maximum count value of a n-bit counter is 2^n - 1.

For example, a 3-bit counter can count up to 2^3 - 1 = 7. The binary representation of 7 in a 3-bit counter is 111.

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