# Relationship between decimal binary octal and hexadecimal number systems | Conversion table

The below table gives the equivalent numbers in the four number systems that we will be using in basic electronics.

This **conversion table** is nothing but a simple cheat sheet for performing mathematical and logical operations on the various number systems that we came across earlier, similar to the multiplication tables (from 1 to 20) that we asked to memorize in lower grade math class in order to perform complex multiplication and division operations faster.

This table will act as a simple speed up bonus to perform the mathematical operations on the number systems faster.

Decimal Base 10 |
Binary Base 2 |
Octal Base 8 |
Hexadecimal Base 16 |
---|---|---|---|

0 | 0 | 0 | 0 |

1 | 1 | 1 | 1 |

2 | 10 | 2 | 2 |

3 | 11 | 3 | 3 |

4 | 100 | 4 | 4 |

5 | 101 | 5 | 5 |

6 | 110 | 6 | 6 |

7 | 111 | 7 | 7 |

8 | 1000 | 10 | 8 |

9 | 1001 | 11 | 9 |

10 | 1010 | 12 | A |

11 | 1011 | 13 | B |

12 | 1100 | 14 | C |

13 | 1101 | 15 | D |

14 | 1110 | 16 | E |

15 | 1111 | 17 | F |

16 | 10000 | 20 | 10 |