Posts tagged numberingsystem

informatics: dual vs. decimal numbering system
posted on 2016-03-26 16:04:41

Saturday afternoon fun... after having watched Kristian Koehntopp's extremely awesome set of mysql presentations here (beware, in german, but he does the math on a flipchart), I finally set out to calculate all the binary numbers with the goal of memorizing them for once and all times to come.

Here we go.

0 [1001] 3 [ jl@jl.dyn.sjas.de ~ ] 15:40:36 $ bc
bc 1.06.95
Copyright 1991-1994, 1997, 1998, 2000, 2004, 2006 Free Software Foundation, Inc.
This is free software with ABSOLUTELY NO WARRANTY.
For details type `warranty'.

2^0
1

2^1
2

2^2
4

2^3
8

2^4
16

2^5
32

2^6
64

2^7
128

2^8
256

2^9
512

2^10
1024

2^11
2048

2^12
4096

2^13
8192

2^14
16384

2^15
32768

2^16
65536

So far so good. Now comes the handy stuff:

KILO    thousand                   1000^1     2^10                          10^3
                                              1024                          1000

MEGA    million                    1000^2     2^20                          10^6
                                              1048576                       1000000

GIGA    billion     / milliard     1000^3     2^30                          10^9
                                              1073741824                    1000000000

TERA    trillion    / billion      1000^4     2^40                          10^12
                                              1099511627776                 1000000000000

PETA    quadrillion / billiard     1000^5     2^50                          10^15
                                              1125899906842624              1000000000000000

EXA     quintillion / trillion     1000^6     2^60                          10^18
                                              1152921504606846976           1000000000000000000

ZETTA   sextillion  / trilliard    1000^7     2^70                          10^21
                                              1180591620717411303424        1000000000000000000000

YOTTA   septillion  / quadrillion  1000^8     2^80                          10^24
                                              1208925819614629174706176     1000000000000000000000000

And for some furter mental classification of the sizes:

2^8
256

2^16                 = KILO = thousands
65536

2^32                 = GIGA = millions
4294967296

2^64                 = EXA  = quintillion / trillion
18446744073709551616

This should do for now.

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