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](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

<div class="youtube-embed"><iframe src="https://www.youtube.com/embed/XvYaQ1mwo78" frameborder="0" allowfullscreen></iframe></div>

More Examples

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