# Decimal to Binary Converter

Enter the decimal number to get binary number using decimal to binary converter.

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## Decimal to Binary Converter

Decimal to Binary Converter is an online tool that helps to convert decimal numbers into Binary numbers by entering the values in a given box. It also swaps the values from binary to decimal by hitting on the swap button.

## What is a Decimal Number system?

This system is based on the “10” and contains the number from “0 to 9”. The set of the numbers can be written as the {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. In this system, we also used the decimal point number for the input and the number used in the decimal point number up to 9. Mathematical representation of decimal number “`(b)­­10`”.

## What is the Binary Number system?

This system is based on the module of “2” and contains the numbers only “0 and 1”. The set of the numbers can be written as the {0, 1}. Moreover, the mathematical representation of the binary number “`(b)­­2`”.

## How to convert the decimal to binary?

Here, we solve a few examples to learn how to convert decimal to binary manually.

Example 1

Convert the “48” into a Binary number.

Solution

To find the solution from decimal numbers to binary numbers use our decimal-to-binary Converter to overcome the long factorizations and save your time.

Step 1: To convert the given decimal number into a binary number then factorize it by the “2”.

• (48)10 = (?)2
 2 48 2 24 – 0 2 12 – 0 2 6 – 0 2 3 – 0 1 – 1

`(48)10 = (110000)2`

Example 2

Convert the given decimal number “510” into a Binary number.

Solution

Step 1: To convert the given decimal number into a binary number then factorize it by the “2”.

• `(510)10 = (?)2`
 2 510 2 255- 0 2 127 – 1 2 63 – 1 2 31 – 1 2 15 – 1 2 7 – 1 2 3 – 1 1 – 1

`(510)10 = (111111110)2`

## Decimal to binary conversion table

Here we give answers of some decimal numbers into binary.

 DecimalNumber BinaryNumber 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 21 10101 22 10110 23 10111 24 11000 25 11001 26 11010 27 11011 28 11100 29 11101 30 11110 31 11111 32 100000 64 1000000 128 10000000 256 100000000