Tool to make binary conversions. Binary code is a numeric system using base 2 used in informatics, symbols used in binary notation are generally zero and one (0 and 1).

Binary Code - dCode

Tag(s) : Arithmetics, Character Encoding, Substitution Cipher

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!

A suggestion ? a feedback ? a bug ? an idea ? *Write to dCode*!

Tool to make binary conversions. Binary code is a numeric system using base 2 used in informatics, symbols used in binary notation are generally zero and one (0 and 1).

To convert a number to binary (with zeroes and ones) consists in a base conversion from base 10 to base 2 (natural **binary code**)

Example: 5 (base 10) = 1*2^2+0*2^1+1*2^0 = 101 (base 2)

The method consists in making successive divisions by 2 and noting the remainder (0 or 1) in the reverse order.

Example: 6/2 = 3 remains 0, then 3/2 = 1 remains 1, then 1/2 = 0 remains 1. The successive remainders are 0,1,1 so 6 is written 110 **in binary**.

Associate with each letter of the alphabet a number, for example by using the A1Z26 code or the ASCII code. This will replace each letter by a number that can then be converted to binary (see above).

Example: AZ is 65,90 (ASCII code) so 1000001,1011010 **in binary**

Similarly for binary to text translation, convert the binary to a number and then associate that number with a letter in the desired code.

It is a base conversion from base 2 to base 10

Example: 111 (base 2) = 1*2^2+1*2^1+1*2^0 = 7 (base 10)

A bit (contraction of binary digit) is a symbol in the binary notation: 0 or 1.

In computer informatics, size is limited, numbers are stocked in memory cells of size N where N is the number of bits.

This depends on the size of the number, here are the min-max intervals:

0-1 | 1 |

2-3 | 2 |

4-7 | 3 |

8-15 | 4 |

16-31 | 5 |

32-63 | 6 |

64-127 | 7 |

128-255 | 8 |

256-511 | 9 |

512-1023 | 10 |

1024-2047 | 11 |

2048-4095 | 12 |

2^(n-1) - (2^n)-1 | n |

In informatics, one's complement is writing a number negatively inversing 0 and 1.

Example: 0111 becomes 1000, so 7 becomes -7

In informatics, one's complement is writing a number negatively inversing 0 and 1 and adding 1.

Example: 0111 becomes 1001

There are 10 kinds of people in the world, those that understand binary, and those that don't...

10 **in binary** equals 2 in decimal.

dCode retains ownership of the source code of the script Binary Code online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Binary Code script for offline use on PC, iPhone or Android, ask for price quote on contact page !

- Binary Code Converter/Decoder
- Binary Converter/Encoder
- How to convert a number in binary?
- How to convert a text in binary?
- How to convert from binary
- How to translate binary
- What is a bit?
- Why defining a number of bits?
- how many bits are necessary to represent a number?
- What is 1's complement?
- What is 2's complement?
- Why is there 10 kinds of people in the world?

binary,2,0,1,base,zero,one,bit,complement,10,kind,people,world,translator,converter

Source : https://www.dcode.fr/binary-code

© 2020 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode

Feedback

▲