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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?

Make 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)

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 into binary (see above).

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

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)

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.

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Source code

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Questions / Comments


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