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

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

Note: To convert a decimal number (base 10) to binary number (base 2), follow these steps:

1. Repeatedly divide the decimal number by 2 and record the remainders of the divisions.
2. The process ends when the result of the division is 0.
3. The remainders of the divisions must be written in reverse order as they represent the weights of the corresponding binary digits.

Applying these steps to the decimal number 159:

Below is an example of how to convert the decimal number 159 to binary:

1. Divide 159 by 2: 159 ÷ 2 = 79 with a remainder of 1.
2. Divide 79 by 2: 79 ÷ 2 = 39 with a remainder of 1.
3. Divide 39 by 2: 39 ÷ 2 = 19 with a remainder of 1.
4. Divide 19 by 2: 19 ÷ 2 = 9 with a remainder of 1.
5. Divide 9 by 2: 9 ÷ 2 = 4 with a remainder of 1.
6. Divide 4 by 2: 4 ÷ 2 = 2 with a remainder of 0.
7. Divide 2 by 2: 2 ÷ 2 = 1 with a remainder of 0.
8. Divide 1 by 2: 1 ÷ 2 = 0 with a remainder of 1.

The remainders of the divisions are written in reverse order: 10011111.

Therefore, the number 159 in decimal converts to 10011111 in binary.