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# Decimal to Binary Converter

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

Table of Contents:

## 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.

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 |

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 |