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!!! Overview
[{$pagename}] ([Base-2]) is a [Positional notation] [number] system and typically a [Data type] and a [Data representation]
Specific details of the [Data type] [{$pagename}] are context dependent.
!! Binary Numbers
Binary numbers with only one bit set is easy to understand:
||[{$pagename}] Representation||[Decimal] value
|00000000000000000000000000000001|1
|00000000000000000000000000000010|2
|00000000000000000000000000000100|4
|00000000000000000000000000001000|8
|00000000000000000000000000010000|16
|00000000000000000000000000100000|32
|00000000000000000000000001000000|64
!! [{$pagename}] and [Computers] [1]
When we write what is stored in a [computer] on paper, we normally use “0” for one of the [states], and “1” for the other [state]. For [example], a piece of computer memory could have the following voltages:
{{{low low high low high high high high low high low low}}}
We could allocate “0” to “low” (or [False]), and “1” to “high” (or [True]) and write this sequence down as:
{{{0 0 1 0 1 1 1 1 0 1 0 0}}}
While this notation is used extensively, and you may often hear the [data] being referred to as being “0’s and 1’s”, it is important to remember that a [computer] does not store 0’s and 1’s; it has no way of doing this. They are just using physical mechanisms such as "high" and "low" voltage, north or south polarity, and light or dark materials.
!! Converting [Decimal] to [{$pagename}]
[JavaScript] [Example]
%%prettify
{{{
function dec2bin(dec){
return (dec >>> 0).toString(2);
}
}}}
/%
!! Converting [{$pagename}] to [Decimal]
[JavaScript] [Example]
%%prettify
{{{
function bin2dec(bin){
return parseInt(bin, 2).toString(10);
}
}}}
/%
!! More Information
There might be more information for this subject on one of the following:
[{ReferringPagesPlugin before='*' after='\n' }]
----
* [#1] - [Data Representation|http://csfieldguide.org.nz/en/chapters/data-representation.html|target='_blank'] - based on information obtained 2018-09-17-
This page (revision-1) was last changed on 29-Nov-2024 16:16 by UnknownAuthorTop