# Binary to Hexadecimal Converter Convert your data

## How to convert binary to hex

Conversion steps:

- We split the binary number into group of four digits starting from right to left.
- If the number of digits is not multiple of four we add zeros in front to form four digits.
- We multiply each group with 8421.
- We add the result for each group.
- We convert the number in hex. e.g. 10 --> A, 11 --> B
- The result will be by puting together all the results, reading from left to right.

## Binary to hex conversion table

Binary (Base 2) | HexaDecimal (Base 16) |
---|---|

0 | 0 |

1 | 1 |

10 | 2 |

11 | 3 |

100 | 4 |

101 | 5 |

110 | 6 |

111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | A |

1011 | B |

1100 | C |

1101 | D |

1110 | E |

1111 | F |

## Example

Convert 1101110011110_{2} to octal:

Step | Group 1 | Group 2 | Group 3 | Group 4 |
---|---|---|---|---|

Step 1 | 0001 | 1011 | 1001 | 1110 |

Step 2 | 8421 | 8421 | 8421 | 8421 |

Step 3 | 0001 | 8021 | 8001 | 8420 |

Step 4 | 1 | 11 | 9 | 14 |

Step 5 | 1 | B | 9 | E |

Step 4 | 1B9E |

1101110011_{2} = 1B9E_{16}