# Decimal to Binary Calculator

## Decimal to Binary Converter

You can use this decimal to binary calculator. You can use this calculator for decimal value into a binary value. Just enter your decimal number, and you’ll get a binary number with proper calculation.

**What is the Decimal Number?**

Decimal Means our regular numbers. All computers can understand only binary numbers if you enter decimal like 238. Then the computer gets a binary number of 238 = 11101110. So from this decimal to binary converter, you will know how the decimal number that we enter is written in the language of the computer.

Here you can see simple steps for converting decimal numbers to binary.

Find the largest power of 2 that lies within the given number.

Subtract that value from the given number.

Find the largest power of 2 within the remainder found in step 2.

Repeat until there is no remainder.

Enter a 1 for each binary place value that was found, and a 0 for the rest.

You can also convert decimal to binary numbers with simple calculations. Here we have some examples to help you find out.

**Example:** Convert 24 to a binary

16 is the largest power of 2 that lies within the given number.

`24 = 16`

Subtract that 16 from the 24.

24 - 16 = 8

8 is the largest power of 2 that lies within the given number of step 2.

`23 = 8`

Subtract that 8 from the step 3. This procedure repeat until there is no remainder.

8 - 8 = 0

Enter a 1 for each binary place value that was found, and a 0 for the rest.

Decimal | 2n | Subtract | Reminder |
---|---|---|---|

24 | 24 | 24-16=8 | 1 |

8 | 23 | 8-8=0 | 1 |

0 | 22 | 0 | 0 |

2 | 21 | 0 | 0 |

0 | 20 | 0 | 0 |

See More: Hexadecimal to Fraction Calculator

**Example:** Convert 18 to a binary

16 is the largest power of 2 that lies within the given number.

`24 = 16`

Subtract that 16 from the 24.

18 - 16 = 2

Skip the 23 and 22 so 2 is the largest power of 2 that lies within the given number of step 2.

`21 = 2`

Subtract that 2 from the step 3. This procedure repeat until there is no remainder.

2 - 2 = 0

Enter a 1 for each binary place value that was found, and a 0 for the rest.

Decimal | 2n | Subtract | Reminder |
---|---|---|---|

15 | 24 | 18-16=2 | 1 |

2 | 23 | 0 | 0 |

2 | 22 | 0 | 0 |

2 | 21 | 2-2=0 | 1 |

0 | 20 | 0 | 0 |

**Example:** Convert 66 to a binary

64 is the largest power of 2 that lies within the given number.

`26 = 64`

Subtract that 64 from the 66.

66 - 64 = 2

Skip the 25,24,23 and 22 so 2 is the largest power of 2 that lies within the given number of step 2.

`21 = 2`

Subtract that 2 from the step 3. This procedure repeat until there is no remainder.

2 - 2 = 0

Enter a 1 for each binary place value that was found, and a 0 for the rest.

Decimal | 2n | Subtract | Reminder |
---|---|---|---|

66 | 26 | 66-64=2 | 1 |

2 | 25 | 0 | 0 |

2 | 24 | 0 | 0 |

2 | 23 | 0 | 0 |

0 | 22 | 0 | 0 |

2 | 21 | 2-2=0 | 1 |

0 | 20 | 0 | 0 |

## Decimal To Binary Table

To this decimal to binary conversion table. You can easily convert decimal to binary without any calculation.

Decimal Number | Binary Number |
---|---|

0 | 0000 |

1 | 0001 |

2 | 0010 |

3 | 0011 |

4 | 0100 |

5 | 0101 |

6 | 0110 |

7 | 0111 |

8 | 1000 |

9 | 1001 |