# Hexadecimal to Binary Converter

To use this **hex to binary converter** tool, just type a hex value like 1E into the left field below, and then hit the Convert button.
Therefore, you can convert up to 16 hex characters (max. value of 7fffffffffffffff).

### Hex to binary conversion result in base numbers

## Hex System

**Hex**, or *hexadecimal*, is a number system of base 16.
This number system is especially interesting because in our casually used decimal system
we have only 10 digits to represent numbers. As hex system has 16 digits,
the extra needed 6 digits are represented by the first 6 letters of English alphabet.
Hence, **hex** digits are 0,1,2,3,4,5,6,7,8 and 9 A, B, C, D, E, F.
This number system is the most commonly used in mathematics and information technologies.
I.e. in html programming colors can be represented by a 6-digit *hexadecimal number*: FFFFFF represents white,
000000 represents black, and so on.

## Binary System

**Binary** is the simplest kind of number system that uses only two digits of 0 and 1.
By using these digits computational problems can be solved by machines because in
digital electronics a transistor is used in two states.
Those two states can be represented by 0 and 1.
That is why this number system is the most preferred in modern computer engineer,
networking and communication specialists, and other professionals.

#### Hex to binary conversion examples

- (1E3)
_{16}= (0001 1110 0011)_{2} - (0A2B)
_{16}= (0000 1010 0010 1011)_{2} - (7E0C)
_{16}= (0111 1110 0000 1100)_{2}

Related converters: Binary To Hex Converter

#### Hexadecimal to Binary Conversion Chart

Hexadecimal | Binary |
---|---|

0 | 0000 |

1 | 0001 |

2 | 0010 |

3 | 0011 |

4 | 0100 |

5 | 0101 |

6 | 0110 |

7 | 0111 |

8 | 1000 |

9 | 1001 |

A | 1010 |

B | 1011 |

C | 1100 |

D | 1101 |

E | 1110 |

F | 1111 |