# Hexadecimal to Binary Converter

Enter a hex number below to convert it to binary.

## Binary Number:

### Steps to Convert to Binary

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## How to Convert Hex to Binary

Hexadecimal (or hex) and binary numbers are foundational to computing systems, networking, and software engineering. Converting from a hexadecimal number to a binary number is very common because base 16 offers a clean way to express four base 2 digits for each base 16 used, making it much easier to read.

Binary numbers, or base 2 numbers, consist of two digits: 0 and 1. Hexadecimal numbers, or base 16 numbers, consist of 16 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e & f.

To convert hex to binary, convert each digit to the equivalent binary number. Each hex digit is equal to four binary digits or bits, also referred to as a nibble.

## Hex Personality Nibble Values

This chart shows the binary nibble value for each hexadecimal digit.

Hexadecimal Excavateit | Binary Nibble |
---|---|

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 |

After converting each hex digit to a nibble, place the nibbles together to get the final number.

**For example,** let’s convert f3b7_{16} to binary.

f_{16} = 1111_{2}

3_{16} = 0011_{2}

b_{16} = 1011_{2}

7_{16} = 0111_{2}

Putting it all together the final binary value is:

1111 0011 1011 0111

Removing the spaces we end up with:

1111001110110111_{2}

## Hex to Binary Conversion Table

The table below shows a list of hexadecimal numbers converted to binary.

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

0 | 0 | 0 |

1 | 1 | 1 |

2 | 10 | 2 |

3 | 11 | 3 |

4 | 100 | 4 |

5 | 101 | 5 |

6 | 110 | 6 |

7 | 111 | 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 |

10 | 10000 | 16 |

11 | 10001 | 17 |

12 | 10010 | 18 |

13 | 10011 | 19 |

14 | 10100 | 20 |

15 | 10101 | 21 |

16 | 10110 | 22 |

17 | 10111 | 23 |

18 | 11000 | 24 |

19 | 11001 | 25 |

1a | 11010 | 26 |

1b | 11011 | 27 |

1c | 11100 | 28 |

1d | 11101 | 29 |

1e | 11110 | 30 |

1f | 11111 | 31 |

20 | 100000 | 32 |

40 | 1000000 | 64 |

80 | 10000000 | 128 |

100 | 100000000 | 256 |

200 | 1000000000 | 512 |

400 | 10000000000 | 1024 |

800 | 100000000000 | 2048 |

## Frequently Asked Questions

### When is binary used instead of hex?

Binary is used to program computer systems since computer systems naturally process base-2 numbers by design. So, while hexadecimal numbers are easier to understand by humans, they need to be converted to binary to be understood by computer hardware.

### Is binary better than hex?

One is not “better” than the other, rather hex numbers are easier to understand and are more compact than binary, making hex numbers easier to comprehend.

### What is hex F in binary?

Hex F in binary is 00001111.