# Decimal To Binary Converter

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_{2}## Decimal to binary calcution steps:

## How to convert a decimal number to the binary number?

Converting decimal to binary is super easy. As we are converting decimal to binary, we have to divide the number by 2 and every times we need to keep the remainder in reverse order.You must remember if it is a fractional number that will in different method. An example given below how to convert a fractional decimal number to binary number:

### Example of decimal to binary conversion:

(10.25)_{10} = (?)_{2}

#### For 10:

Divided by 2 | Quotient | Remainder | Flow |
---|---|---|---|

10 / 2 | 5 | 0 | ↓ |

5 / 2 | 2 | 1 | ↓ |

2 / 2 | 1 | 0 | ↓ |

1 / 2 | 0 | 1 | ↓ |

#### For .25:

Multiply by 2 | Result | Non-Fractional Part | Flow |
---|---|---|---|

.25 * 2 | 0.50 | 0 | ↓ |

.50 * 2 | 1.00 | 1 | ↓ |

### Result is = (1010.01)_{2}

### Decimal to binary conversion table:

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 |