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Binary Code

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).

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Binary Code -

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

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Binary Code

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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).

Answers to Questions

How to convert a number in binary?

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.

How to convert a text 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.

How to convert from binary

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)

How to translate binary

The binary does not directly translate, any number encoded in binary remains a number. On the other hand, it is common in computer science to use binary to store text, for example by using the ASCII table, which associates a number with a letter. An ASCII translator is available on dCode.

What is a bit?

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

Why defining a number of bits?

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

how many bits are necessary to represent a number?

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

0-11
2-32
4-73
8-154
16-315
32-636
64-1277
128-2558
256-5119
512-102310
1024-204711
2048-409512
2^(n-1) - (2^n)-1n

What is 1's complement?

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

Example: 0111 becomes 1000, so 7 becomes -7

What is 2's complement?

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

Example: 0111 becomes 1001

Why is there 10 kinds of people in the world?

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.

Source code

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 !

Questions / Comments


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