How to convert decimal to binary?

1. Divide by 2: Continuously divide the decimal number by 2 until the quotient is 0.
2. Record the remainder: Record the remainder (either 0 or 1) after each division.
3. Reverse the order of the remainders: Arrange all the remainders in reverse order of the divisions; this will give you the binary representation of the decimal number.

Example

Let’s convert decimal 19 to binary:

1. 19 ÷ 2 = 9, remainder 1
2. 9 ÷ 2 = 4, remainder 1
3. 4 ÷ 2 = 2, remainder 0
4. 2 ÷ 2 = 1, remainder 0
5. 1 ÷ 2 = 0, remainder 1

Now, reverse the remainders: 10011, which means the binary representation of 19 is 10011.

This method works for any decimal number!