What is the decimal value of the binary number 01000101?

What is the decimal value of the binary number 01000101?

• A. 65
• B. 69
• C. 70
• D. 61

Answer: (B)

To convert the binary number 01000101 to decimal, you need to understand the positional values of the binary digits. Each digit in a binary number represents a power of 2, starting from the rightmost digit, which corresponds to 2^0. In the case of 01000101, the binary representation can be broken down as follows: - The rightmost digit (1) is in the 2^0 position. - Next (0) is in the 2^1 position. - The following digit (1) is in the 2^2 position. - The next digit (0) is in the 2^3 position. - The next digit (0) is in the 2^4 position. - The next digit (0) is in the 2^5 position. - The next digit (1) is in the 2^6 position. - The leftmost digit (0) is in the 2^7 position. Now, you can calculate the decimal value by adding the products of each binary digit and its corresponding power of 2: - 0 × 2^7 = 0 - 1 × 2^6 = 64 -

To convert the binary number 01000101 to decimal, you need to understand the positional values of the binary digits. Each digit in a binary number represents a power of 2, starting from the rightmost digit, which corresponds to 2^0.

In the case of 01000101, the binary representation can be broken down as follows:

• The rightmost digit (1) is in the 2^0 position.

• Next (0) is in the 2^1 position.

• The following digit (1) is in the 2^2 position.

• The next digit (0) is in the 2^3 position.

• The next digit (0) is in the 2^4 position.

• The next digit (0) is in the 2^5 position.

• The next digit (1) is in the 2^6 position.

• The leftmost digit (0) is in the 2^7 position.

Now, you can calculate the decimal value by adding the products of each binary digit and its corresponding power of 2:

• 0 × 2^7 = 0

• 1 × 2^6 = 64