|
There is
another way then using ones, tens, hundreds, and thousands like in the
decimal system. These numbers are built out of the powers in the binary
system like 1, 2, 4, 8, 16, 32, 64, 128, 256 so on and so forth.
There
are only to digits in the binary system: {0, 1}. This is the system that
computers and calculators work with because electric devices only understand
electricity on (1) and electricity off (0). The numbers are written like in
the following example:
E.g. the
number 7:
|
16 |
8 |
4 |
2 |
1 |
|
0 |
0 |
1 |
1 |
1 |
|
0 16
+ 0 8
+ 1 4
+ 1 2
+
1 1 |
The
number 7 is written: 1112 in the binary system.
If you
should want to display the number 5, only the numbers 4 and 1 are needed. 2
is not necessary. This still has to be stated. 5 is written: 1012
|
Decimal system |
Binary system |
|
1 |
12 |
|
2 |
102 |
|
3 |
112 |
|
4 |
1002 |
|
5 |
1012 |
|
6 |
1102 |
|
7 |
1112 |
|
8 |
10002 |
|
9 |
10012 |
|
10 |
10102 |
|
11 |
10112 |
|
12 |
11002 |
|
13 |
11012 |
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