How do you convert binary to decimal?

To convert a binary number to decimal, you take each digit of the binary number and multiply it by 2 raised to the power of its position, counting from right to left starting at 0. The positions that contain a 1 contribute to the final sum. This method relies on the place value system, where each position in binary represents a power of 2. For instance, in the binary number 1011, you would calculate it as follows:

• The rightmost digit (1) is in the 0th position, so it contributes (1 \times 2^0 = 1).

• The next digit (1) is in the 1st position, contributing (1 \times 2^1 = 2).

• The digit (0) in the 2nd position contributes (0 \times 2^2 = 0).

• The leftmost digit (1) is in the 3rd position, contributing (1 \times 2^3 = 8).

Adding these together gives (8 + 0 + 2 + 1 = 11) in decimal form. This process clearly highlights how binary numbers are inherently linked to a base-2 system