Difference between revisions of "Template:Binary Numbers"
esse quam videri
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|2<sup>64</sup> || = 18,446,744,073,709,551,616 || = 16 exabytes. That's more than 18 billion billion bytes. | |2<sup>64</sup> || = 18,446,744,073,709,551,616 || = 16 exabytes. That's more than 18 billion billion bytes. | ||
+ | |} | ||
+ | |||
+ | ==Large Bit Names== | ||
+ | |||
+ | {| class="wikitable" cellpadding="5" cellspacing="0" | ||
+ | ! Name !! Abbr. !! Size | ||
+ | |- | ||
+ | |Kilo || K || 2^10 = 1,024 | ||
+ | |- | ||
+ | |Mega || M || 2^20 = 1,048,576 | ||
+ | |- | ||
+ | |Giga ||G || 2^30 = 1,073,741,824 | ||
+ | |- | ||
+ | | Tera || T || 2^40 = 1,099,511,627,776 | ||
+ | |- | ||
+ | | Peta || P || 2^50 = 1,125,899,906,842,624 | ||
+ | |- | ||
+ | | Exa || E ||2^60 = 1,152,921,504,606,846,976 | ||
+ | |- | ||
+ | | Zetta || Z || 2^70 = 1,180,591,620,717,411,303,424 | ||
+ | |- | ||
+ | | Yotta || Y || 2^80 = 1,208,925,819,614,629,174,706,176 | ||
|} | |} |
Latest revision as of 03:12, 25 July 2007
Binary Numbers
As Humans we use a 10 base numbering system. For machines this numbering system is impractical.
Gottfried Willheml von Leibnitz devised the binary number system in 1679
Converting Binary Numbers
Binary->Decimal
110102 = (1 * 24) + (1 * 23) + (0 * 22) + (1 * 21) + (0 * 20) = 1610 + 810 + 0 + 210 + 0 = 2610
Dividing by two
integer | remainder | binary # |
---|---|---|
26 | ||
26/2 | 0 | 0 |
13/2 | 1 | 1 0 |
6/2 | 0 | 0 1 0 |
3/2 | 1 | 1 0 1 0 |
1/2 | 1 | 1 1 0 1 0 |
0/2 | that's it kids |
for more info see Dr. Dave's Class readings (i believe it's in week 2)Daves text
Base2
Each new bit doubles the number of intervals.
20 | =1 | monochrome, often black and white |
21 | =2 | |
22 | =4 | |
23 | =8 | Most early color Unix workstations, VGA at low resolution, Super VGA, AGA http://en.wikipedia.org/wiki/Web_colors#Web-safe_colors |
24 | =16 | |
25 | =32 | |
26 | =64 | |
27 | =128 | |
28 | =256 | |
29 | =512 | |
210 | =1024 | |
2 11 | =2048 | |
212 | =4096 | |
213 | =8192 | |
214 | =16384 | |
215 | =32768 | |
216 | =65536 | "thousands of colors" on Macintosh |
220 | =1048576 | |
224 | =16777216 | Truecolor or "millions of colors" on Macintosh systems |
232 | = 4,294,967,295 | refers to 24-bit color (Truecolor) with an additional 8 bits |
264 | = 18,446,744,073,709,551,616 | = 16 exabytes. That's more than 18 billion billion bytes. |
Large Bit Names
Name | Abbr. | Size |
---|---|---|
Kilo | K | 2^10 = 1,024 |
Mega | M | 2^20 = 1,048,576 |
Giga | G | 2^30 = 1,073,741,824 |
Tera | T | 2^40 = 1,099,511,627,776 |
Peta | P | 2^50 = 1,125,899,906,842,624 |
Exa | E | 2^60 = 1,152,921,504,606,846,976 |
Zetta | Z | 2^70 = 1,180,591,620,717,411,303,424 |
Yotta | Y | 2^80 = 1,208,925,819,614,629,174,706,176 |