# Binary to Hexadecimal Converter

In order to use this **binary to hex converter** tool,
type a binary value like 1110 into the left field below, and hit the Convert button.
This way, you can convert up to 63 binary characters to hex.

### Binary to hex conversion result in base numbers

## Binary System

**The binary numeral system** uses the number 2 as its base (radix). As a base-2 numeral system, it consists of only two numbers: 0 and 1.

While it has been applied in ancient Egypt, China and India for different purposes, the **binary system** has become the language of electronics and computers in the modern world. This is the most efficient system to detect an electric signal’s off (0) and on (1) state. It is also the basis for binary code that is used to compose data in computer-based machines. Even the digital text that you are reading right now consists of binary numbers.

Reading a binary number is easier than it looks: This is a positional system; therefore, every digit in a binary number is raised to the powers of 2, starting from the rightmost with 2^{0}. In the binary system, each binary digit refers to 1 bit.

### How to Read a Binary Number

In order to convert binary to decimal, basic knowledge on how to read a binary number might help. As mentioned above, in the positional system of binary, each bit (binary digit) is a power of 2. This means that every binary number could be represented as powers of 2, with the rightmost one being in the position of 2_{0}

Example: The binary number (1010)_{2} can also be written as follows:

(1 * 2^{3}) + (0 * 2^{2}) + (1 * 2^{1}) + (0 * 2^{0})

## Hex System

**Hex**, or *hexadecimal*, is a number system of base 16.
This number system is especially interesting because in our casually used decimal system
we have only 10 digits to represent numbers. As hex system has 16 digits,
the extra needed 6 digits are represented by the first 6 letters of English alphabet.
Hence, **hex** digits are 0,1,2,3,4,5,6,7,8 and 9 A, B, C, D, E, F.
This number system is the most commonly used in mathematics and information technologies.
I.e. in html programming colors can be represented by a 6-digit *hexadecimal number*: FFFFFF represents white,
000000 represents black, and so on.

#### Binary to hex conversion examples

- (1110)
_{2}= 0Eh - (111001)
_{2}= 39h - (10011100)
_{2}= 9Ch

Related converters: Hex To Binary Converter

#### Binary to Hexadecimal Conversion Chart

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 |