Decimal to Binary Converter

To use this decimal to binary tool, enter a decimal number up to 19 characters and click on the conversion button. For example, enter a decimal number "24" into the text box and click on the button, you will get the number "11000" in response after decimal to binary conversion.


to base-8


to base-16


Decimal Numbers

The Decimal numbers are nothing but zero and set of other counting numbers. In the number system, all the digits are placed to the left and right of the decimal point. All the decimal points let us know where the place of a specific number is. Most of the decimal devices require to convert decimal to binary first to process any kind of incoming request and respond to the request. So, the decimal numbering system is as important as the binary numbering system for the students. Use this simple tool to understand the technical conversion of different numbers.

The Decimal Conversion Structure

If you want to convert decimal to binary number then follow these steps. Firstly, divide the given number by 2. After you are dividing it by 2, get the float for the next iteration. The reminder is the conversion! For example, if you enter the number "46" in the textbox and you will get this answer: 101110.

Conversion of 12 to Binary for Example

Converting 12 number to binary is pretty simple. Firstly, divide 12 by 2 and the remainder would be 0 and quotient for 12 will be 6. Again dividing 6 by two will give 0 remainder and 3 quotients. Now, dividing 3 by 2 will give the remainder of 1 and quotient of 1. That's it! The decimal to binary conversion of number 12 will be 1100.

Decimal Conversion

Decimal Binary
0 0
1 1
2 10
3 11
4 100
5 101
6 110
7 111
8 1000
9 1001
10 1010
11 1011
12 1100
13 1101
14 1110
15 1111
16 10000
17 10001
18 10010
19 10011
20 10100