# The Binary Number System (base 2)

The **Binary number system**, unlike the Decimal number System, where they are allowed 10 digits (0 to 9), you only need two (2) digits: “0” and “1”. The **Binary number system** is especially important in digital electronics, where only two values are possible: “1” or “high” and “0” or “low”.

“1” and “0” are associated with:

– “high level” and “low level”

– “closed” and “open”

– “on” and “off”

– “connected” and “disconnected”

– “high” and “low”, etc..

Analyzing the diagram below. A number on the** binary numbering system**, is divided into different weight digits: 1, 2, 4, 8, 16, 32, 64, 128, …. etc.

Each weight is associated with a power of 2. On the first digit (from right to left) the power of 2 is 2^{0}, the second digit the power of 2 is 2^{1} and we continue in the same way until the last number on the left. Then, to form the number 1010_{2}. Number 10 (decimal) in binary.