Binary System

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Binary System

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Definition

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.

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References

1. Wikipedia: https://en.wikipedia.org/wiki/Binary_number

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