It is a very simple way to use this conversion tool. All you need to do is provide hexadecimal number like ABCD into the left textbox and then click on Convert button to obtain binary value in the right textbox.

Incorrect Hexadecimal Value

You might need: Hex to Decimal conversion

The base of the hexadecimal number system is 16. Hence, there are 16 symbols or digits in this system. The first ten digits are similar to that of decimal number system - 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The rest six digits are represented by the symbols A, B, C, D, E, and F, representing decimal numbers 10, 11, 12, 13, 14, and 15 respectively. The largest single digit is F (1 less than the base 16). Each digit in hexadecimal number system represents a power of the base (16). This number system is used to represent colors in HTML programming; FF0000 represents Red, 00FF00 represents Green, 0000FF represents Blue, etc.

Machines use binary number system to perform computations. This number has a base of 2. Hence, there are 2 digits in this system - 0 and 1. Each digit in binary number system represents a power of the base (2).

Let's understand the conversion by following these steps-

- Convert each hexadecimal digit to its equivalent decimal value.
- Convert the decimal values obtained in Step 1 to 4-digit binary.
- Combine all the binary groups of four digits each into a single binary number.

The steps mentioned above will become clearer when we apply them in an example. Suppose we have a hexadecimal number 4CD that we want to convert into binary number.

Step i) Convert each hexadecimal digit to its equivalent decimal value.

4_{16} = 4_{10}

C_{16} = 12_{10}

D_{16} = 13_{10}

Step ii) Convert the decimal values obtained in Step 1 to 4-digit binary.

4_{10} = 0100_{2}

12_{10} = 1100_{2}

13_{10} = 1101_{2}

Step iii) Combine the binary groups

4CD_{16} = 010011001101_{2}

The following table provides a list of few hexadecimal numbers and their corresponding binary numbers-

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

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 |