From Binary to Decimal System

Converting a number from binary to decimal is quite simple. In the binary system, we have only two digits: 0 and 1.

To convert a number, for example, 1011 from binary to decimal, multiply each digit by 2 raised to the corresponding power and add up the results.

For the number 1011:

1. 1 * 2^3 = 8
2. 0 * 2^2 = 0
3. 1 * 2^1 = 2
4. 1 * 2^0 = 1

Now add up all the values obtained: 8 + 0 + 2 + 1 = 11. Thus, the number 1011 in binary is equal to 11 in the decimal system.

So, to convert a number from the binary system to the decimal system, multiply each digit by the corresponding power of 2 and add the results.