What is the combined value of all place values in a full byte?

What is the combined value of all place values in a full byte?

• A. 256
• B. 128
• C. 255
• D. 512

Answer: (C)

A full byte consists of 8 bits, and each bit can represent a value of either 0 or 1. When calculating the combined value of all place values in a byte, we consider all possible values that can be represented by these bits. The maximum value that can be represented by an 8-bit binary number is 11111111, which translates to decimal as follows: - Each bit position corresponds to a power of 2: - 1 (2^0) - 2 (2^1) - 4 (2^2) - 8 (2^3) - 16 (2^4) - 32 (2^5) - 64 (2^6) - 128 (2^7) When you sum these values for all bits set to 1 in an 8-bit binary number, you get: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255. This total value of 255 represents the maximum integer value that can be stored in a byte, ranging from 0 (all bits off) to 255 (all bits on). Therefore,

A full byte consists of 8 bits, and each bit can represent a value of either 0 or 1. When calculating the combined value of all place values in a byte, we consider all possible values that can be represented by these bits.

The maximum value that can be represented by an 8-bit binary number is 11111111, which translates to decimal as follows:

• Each bit position corresponds to a power of 2:

• 1 (2^0)

• 2 (2^1)

• 4 (2^2)

• 8 (2^3)

• 16 (2^4)

• 32 (2^5)

• 64 (2^6)

• 128 (2^7)

When you sum these values for all bits set to 1 in an 8-bit binary number, you get:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255.

This total value of 255 represents the maximum integer value that can be stored in a byte, ranging from 0 (all bits off) to 255 (all bits on).

Therefore,