What is a Hexadecimal System (Hex System)?

The hexadecimal system (shortly hex) uses 16 as its base (radix). 16 symbols are used to represent the base-16 numeral system. It consists of the first six letters of the English alphabet (A, B, C, D, E, F) and the first ten decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Because of the need to represent each of the values 10, 11, 12, 13, 14 and 15 in one single symbol, the letters are used.

Hex is a more user-friendly method of representing binary numbers in mathematics and information technology. The hex digit represents four binary digits, which is why hex is a language to write binary in an abbreviated form.

Half a byte is made up of four binary digits (also called nibbles). Hence, one byte can carry binary values between 0000 0000 and 1111 1111. These can be represented in hex, ranging from 00 to FF, in a more friendly manner.

The hexadecimal representation of colors in HTML is FFFFFF for white, and 000000 for black.

What is a binary system?

Binary numerals use the number 2 as their base (radix). There are only two numbers in a base-2 numeral system: 0 and 1.

Despite its use in ancient Egypt, China, and India for different purposes, the binary system has now become the language of electronics and computers in the modern world. In order to detect an electric signal's off (0) and on (1) states, this is the most efficient method. Furthermore, it is the basis for binary code, which is used to compose data on computer-based machines.

It's easier than you think to read a binary number: It's a positional system; hence, every digit is raised to the power of 2, starting from the rightmost digit (2 ^{0}). In the binary system, each binary digit refers to 1 bit.

How to convert Hex to Binary?

Our free Hexadecimal to Binary converter tool can help you convert hex values to binary quickly and easily.

- First, enter the hexadecimal number in the input box.
- Click on the Convert Button to start the conversion from hexadecimal to a binary value.
- The tool will then give you the decimal value and binary value of the given hexadecimal number in the two display boxes respectively.
- In case you want to group the digits, you can select the Digit grouping checkbox.

Hex | 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 |

Related Conversion Tools