What is the decimal value of the binary number 01000101?

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