Decimal to Binary Number Conversion

In this post we will cover how to convert decimal number to binary number. For binary to decimal conversion refer - Binary to Decimal Number Conversion.

Procedure

To convert a decimal number to any other number system, follow these steps:

1. Modulo Operation: Compute the remainder of the number when divided by the base, i.e., number % base.
2. Record the Remainder: Write down the remainder obtained.
3. Division Operation: Divide the number by the base, i.e., number / base.
4. Repeat: Continue the above steps until the number becomes zero (number > 0).

Finally, write down all the remainders in reverse order to get the binary representation.

Example

Let’s convert $(22)_{10}$ into Binary format, where base value is 2.

Pictorial Explanation

Video Explanation

More Examples

Here’s a quick reference table that shows the binary equivalents of decimal numbers from 0 to 9: