In a binary counter, what is the maximum count for a 4-bit counter?

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Question: In a binary counter, what is the maximum count for a 4-bit counter?

Options:

Correct Answer: 15

Solution:

The maximum count for a 4-bit counter is 2^4 - 1 = 15.

In a binary counter, what is the maximum count for a 4-bit counter?

In a binary counter, what is the maximum count for a 4-bit counter?

Step 1: Understand that a 4-bit counter can represent numbers using 4 binary digits (bits).
Step 2: Each bit can be either 0 or 1, which means there are 2 possible values for each bit.
Step 3: To find out how many different combinations of bits there are, calculate 2 raised to the power of the number of bits. For 4 bits, this is 2^4.
Step 4: Calculate 2^4, which equals 16. This means there are 16 different combinations of 4 bits.
Step 5: The counts start from 0, so the maximum count is one less than the total combinations. Therefore, the maximum count is 16 - 1.
Step 6: Finally, calculate 16 - 1, which equals 15. This is the maximum count for a 4-bit counter.

Binary Counting – Understanding how binary numbers work and how to calculate the maximum value based on the number of bits.
Bit Representation – Recognizing that a 4-bit counter can represent values from 0 to 15.