# HEX to Binary

Enter a hex value, such as 1E, into the left field below and click the Convert button to utilize this hex to binary converter tool. You can therefore convert up to 16 hexadecimal characters (max. value of 7fffffffffffffff).

## How Can Hex Be Converted to Binary?

The cornerstone of computer networks, software engineering, and hexadecimal and binary numerals. Because base 16 provides a straightforward way to describe four bases 2 digits for each base 16 utilized, making it considerably easier to understand, converting hexadecimal numbers to binary is pretty popular.

Two digits, 0 and 1, make up binary numbers, often known as base 2. Base 16 numbers, sometimes known as hexadecimal numbers, have the following 16 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, & f.

Convert each digit in hex to its corresponding binary value to convert it to binary. Four binary digits or bits, also known as nibble or hex digits, make up each hex digit.

## What Is the Purpose of Hex?

It's a helpful shorthand for representing byte values, or numbers from 0 to 255, because changing from hex to binary and vice versa is straightforward. As just 2 digits are needed for a byte, and 4 digits are required for a word, it is also compact.

## Hex is typically used for:

Hex dumps are lists of bytes in a file that is in the hexadecimal format. Values line up in columns and are simple to follow because decimal or binary numbers can be compactly shown as pairs or multiple pairs of digits or characters from A to F.

A set of mnemonic (short, memorable term) instructions for a microprocessor are written in assembly language. The operand, or the data that an opcode operates on, is frequently provided as a hex value. Additionally, it's employed to designate where data is stored.

## How to do hex to binary conversion?

Using this table, convert each hex digit (beginning with the lowest number) to four binary digits:

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 |

#### Example

Convert hex 6C_{16} to binary:

6C_{16} = 6 C = 110 1100 = 1101100_{2}