How many bits are used in the configurations mentioned for a group of bits?

How many bits are used in the configurations mentioned for a group of bits?

• A. 4 bits
• B. 2 bits
• C. 3 bits
• D. 8 bits

Answer: (C)

The correct choice of 3 bits is significant because it represents the number of unique combinations or configurations that can be created when using a given number of bits. In binary systems, each bit can have two states (0 or 1). Therefore, the formula to determine how many unique combinations can be represented by a certain number of bits is 2 raised to the power of the number of bits. When applying this formula: - For 1 bit, there are 2^1 = 2 combinations (00, 01). - For 2 bits, there are 2^2 = 4 combinations (00, 01, 10, 11). - For 3 bits, there are 2^3 = 8 combinations (000, 001, 010, 011, 100, 101, 110, 111). Thus, with 3 bits, you can create 8 different configurations, making this the correct answer. This principle is foundational in digital systems and is often utilized in coding, data representation, and computing contexts.

The correct choice of 3 bits is significant because it represents the number of unique combinations or configurations that can be created when using a given number of bits. In binary systems, each bit can have two states (0 or 1). Therefore, the formula to determine how many unique combinations can be represented by a certain number of bits is 2 raised to the power of the number of bits.

When applying this formula:

• For 1 bit, there are 2^1 = 2 combinations (00, 01).

• For 2 bits, there are 2^2 = 4 combinations (00, 01, 10, 11).

• For 3 bits, there are 2^3 = 8 combinations (000, 001, 010, 011, 100, 101, 110, 111).

Thus, with 3 bits, you can create 8 different configurations, making this the correct answer. This principle is foundational in digital systems and is often utilized in coding, data representation, and computing contexts.