Hex to Binary Converter is used to convert a Hex number into Binary format

Background Information

A Hex can be converted to Binary in three steps:-

- Break the Hex number into individual digits
- Convert each hex digit into it's binary equivalent.
- Pad with leading zeroes to make each binary number 4 digit long
- Group the binary bits from left to right
- Trim any leading zeroes to form your binary number

Let's say your Hex value is `1A4`

and you want to convert it to it's Binary form.

**Step 1:**Break the Hex number into digits:`1`

`A`

`4`

**Step 2:**Convert each hex digit into binary`1`

becomes`0001`

`A`

becomes`1010`

`4`

becomes`0100`

**Step 3:**Combine the bits:`000110100100`

**Step 4:**Remove leading zeroes:`110100100`

Hexadecimal is the numeric system widely used by systems designers and computer programmers. It comprises of 16 symbols from 0 to 9 and A to F.

Binary is the numeric system of computers. Computers are so dumb they only understand 0s and 1s. Binary numbers have a base of 2.

Binary system might be what computers use, but the hexadecimal number system is the closest one to it that us humans can comprehend. One of the unique properties of a hexadecimal number is that it can be easily converted to binary digits. All you need is the conversion chart shown below that maps all hex digits with their binary equivalents.

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 |

Hex is used in HTML to represent colors. For example, FF0000 refers to the color red. It is also used by Hex editors to display binary data stored in files. Any byte from 0-255 can be represented using two hexadecimal digits. **00** represents the NULL character whose byte value is **0** and **FF** represents 'ÿ' (the latin small letter y with diaeresis). Thus, a hex digit represents a nibble and two of them represent a byte.

- (45)
_{16}= (0100 0101)_{2} - (1A4)
_{16}= (0001 1010 0100)_{2}

Perform arbitrary base conversion on numbers in any Base 2 (Binary) to Base 36

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