Convert from Binary (Base 2) to Decimal (Base 10)

¿How to convert from Binary (Base 2) to Decimal (Base 10)?

Note: To convert a number in binary (base 2) to any other base, we must first convert the binary value to decimal (base 10). Follow these steps:

1. Identify each digit of the binary number.
2. Calculate the position of each digit. Start from the rightmost digit, which will have a position of 0. Each digit to the left will have an incremental position of 1 (1, 2, 3, etc.).
3. Calculate the decimal value of each digit by multiplying it by the base (2) raised to the position of the digit. For example: digit * 2^position.
4. Add up the values obtained in the previous step to get the equivalent decimal number.

Applying these steps to the binary number 10011111:

Let's see how to convert the binary number 10011111 to decimal.

1. 1, 0, 0, 1, 1, 1, 1, and 1 are the digits.
2. Starting from the rightmost, the positions are 0, 1, 2, 3, 4, 5, 6, and 7.
3. 1 * 2^7 = 128; 0 * 2^6 = 0; 0 * 2^5 = 0; 1 * 2^4 = 16; 1 * 2^3 = 8; 1 * 2^2 = 4; 1 * 2^1 = 2; 1 * 2^0 = 1;
4. 128 + 0 + 0 + 16 + 8 + 4 + 2 + 1 = 159 decimal.

Therefore, 10011111 binary = 159 decimal.