- The number system with base/radix 16 is known as
*Hexadecimal number system*. - It uses sixteen distinct symbols, most often the symbols
**0**–**9**to represent values zero to nine, and**A**–**F**(or alternatively**a**–**f**) to represent values ten to fifteen. - Hexadecimal number system is
*positional number system*, i.e. every position in a number has assigned some weight. - Hexadecimal number system provides a convenient way of converting large binary numbers into more compact and smaller groups.
- In general, Hexadecimal number can be expressed as:

- For example , (3AF5.67)
_{16}is an hexadecimal number. **Hexadecimal numbers are shown below,**

Hexadecimal numbers |
binary numbers |
decimalequivalent |

0 | 0 0 0 0 | 0 |

1 | 0 0 0 1 | 1 |

2 | 0 0 1 0 | 2 |

3 | 0 0 1 1 | 3 |

4 | 0 1 0 0 | 4 |

5 | 0 1 0 1 | 5 |

6 | 0 1 1 0 | 6 |

7 | 0 1 1 1 | 7 |

8 | 1 0 0 0 | 8 |

9 | 1 0 0 1 | 9 |

A | 1 0 1 0 | 10 |

B | 1 0 1 1 | 11 |

C | 1 1 0 0 | 12 |

D | 1 1 0 1 | 13 |

E | 1 1 1 0 | 14 |

F | 1 1 1 1 | 15 |