In a binary counter, what is the maximum count for a 3-bit counter?

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Question: In a binary counter, what is the maximum count for a 3-bit counter?

Options:

Correct Answer: 7

Solution:

A 3-bit counter can represent values from 0 to 7, which is a total of 8 states.

In a binary counter, what is the maximum count for a 3-bit counter?

In a binary counter, what is the maximum count for a 3-bit counter?

Step 1: Understand that a 3-bit counter uses 3 bits to represent numbers.
Step 2: Each bit can be either 0 or 1, which means each bit has 2 possible values.
Step 3: Calculate the total number of combinations for 3 bits by using the formula 2^n, where n is the number of bits.
Step 4: For 3 bits, calculate 2^3, which equals 8.
Step 5: The values that a 3-bit counter can represent start from 0 and go up to 7 (0, 1, 2, 3, 4, 5, 6, 7).
Step 6: Therefore, the maximum count for a 3-bit counter is 7.

Binary Counting – Understanding how binary numbers work and how many unique values can be represented with a given number of bits.
Bit Representation – Recognizing that each bit in a binary counter doubles the number of possible states.