## How to convert Binary to Hex

A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices.Hexadecimal is a positional system that represents numbers using a base of 16. Unlike the common way of representing numbers with ten symbols, it uses sixteen distinct symbols, most often the symbols "0"-"9" to represent values zero to nine, and "A"-"F" to represent values ten to fifteen. Hexadecimal numerals are widely used by computer system designers and programmers, as they provide a human-friendly representation of binary-coded values.

**Formula**

Follow these steps to convert a binary number into hexadecimal form:

- Start from the right side of the binary number and divide it up into groups of 4 digits. Add extra zeros to the front of the first number if it is not four digits.
- Convert each group of 4 binary digits to its equivalent hex value from the conversion table below.
- Concatenate the results together. This is the solution.

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

0000 | 0 |

0001 | 1 |

0010 | 2 |

0011 | 3 |

0100 | 4 |

0101 | 5 |

0110 | 6 |

0111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | A |

1011 | B |

1100 | C |

1101 | D |

1110 | E |

1111 | F |

Binary | (00)11 | 0110 | 1010 | 0111 |
---|---|---|---|---|

Hexadecimal | 3 | 6 | A | 7 |