## Hexadecimal Number

Hexadecimal number system uses 16 different symbols to represent a numeric value. It uses numbers 0 to 9 and alphabets A to F for representation. . The place value of each digits of an hexadecimal number varies as the whole number powers of 16 starting from the right (Least Significant Digit). The first single digit number in hexadecimal system is 0 and the last is F. Similarly, the first two digit hexadecimal number is 10 and the last is FF and so on. It is used as an alternative for binary numbers by developers and programmers.

## Binary number

Binary numbering system uses only two symbols 0 and 1. Each digits of a binary number is referred to as bits. Binary system is also known as base -2 system. Each digit is represented by the increasing power of 2 from the LSB (Least Significant Bit). Binary system is the heart of digital electronics and is used for information flow. In digital electronics, 0 and 1 are used to denote logic states, high and low. Arithmetic operations are also possible in binary system.

## How to convert hexadecimal number to binary

Hexadecimal to binary conversion is very simple. The only thing you have to do is to write down the binary value corresponding to each digits of hexadecimal number and combine them together. Refer the hexadecimal to binary conversion table below:

## Hexadecimal to Binary conversion table

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

0 | 0000 | 0 |

1 | 0001 | 1 |

2 | 0010 | 2 |

3 | 0011 | 3 |

4 | 0100 | 4 |

5 | 0101 | 5 |

6 | 0110 | 6 |

7 | 0111 | 7 |

8 | 1000 | 8 |

9 | 1001 | 9 |

A | 1010 | 10 |

B | 1011 | 11 |

C | 1100 | 12 |

D | 1101 | 13 |

E | 1110 | 14 |

F | 1111 | 15 |

## Use Hexadecimal to Binary convertor

## Example for Hexadecimal to Binary conversion

## Convert 3F3_{16} to binary

From the below hexadecimal to binary conversion table:

Hex | 3 | F | 3 |

Decimal | 0011 | 1111 | 0011 |

Hence, 3F3_{16} = 1111110011_{2}

## Convert AFE_{16} to binary

From the below hexadecimal to binary conversion table:

Hex | A | F | E |

Decimal | 1010 | 1111 | 1110 |

Hence, AFE_{16} = 101011111110_{2}