How many values can a 4-bit binary number represent?

• A. 8 values
• B. 12 values
• C. 16 values
• D. 32 values

Answer: (C)

A 4-bit binary number can represent values through combinations of bits, with each bit having two possible states: 0 or 1. The total number of unique combinations that can be formed with a given number of bits is calculated using the formula (2^n), where (n) is the number of bits.

In this case, for a 4-bit binary number, the calculation would be (2^4). This results in (16) unique combinations, which range from (0000) (decimal 0) to (1111) (decimal 15). Therefore, the correct answer reflects the total representations that are possible with 4 bits, confirming that they can indeed represent 16 distinct values.