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In the binary system there are only two digits unlike in the decimal system.
Computers and operating system-based devices work exclusively with this binary system. The reason for this is that everything is processed via electricity: However, electricity has two conditions only: On and off. Expressed in numbers, this is 1 for on and 0 for off. Either power is switched on or it is switched off.
Value |
8 4 2 1 |
0 | 0 0 0 0 |
1 | 0 0 0 1 |
2 |
0 0 1 0 |
3 | 0 0 1 1 |
4 | 0 1 0 0 |
5 | 0 1 0 1 |
6 | 0 1 1 0 |
7 | 0 1 1 1 |
8 | 1 0 0 0 |
9 | 1 0 0 1 |
10 | 1 0 1 0 |
11 | 1 0 1 1 |
12 | 1 1 0 0 |
13 | 1 1 0 1 |
14 | 1 1 1 0 |
15 | 1 1 1 1 |
The last digit always has the value 1, and all further digits have a value twice as high as before.
In the case of the binary 1101, this is shown as follows:
Value | 8 | 4 | 2 | 1 | |
Binary | 1 | 1 | 0 | 1 | |
Decimal |
1+1+1+1+1+1+1+1+ | 1+1+1+1+ | 0+0+ | 1 | = 13 |
By summing the appropriate numbers of ones and zeros, a computer can also represent numbers such as 22 or 32.