Mar 092015
 

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.

Binary Number System (multiplier, weights)

Each weight is associated with a power of 2. On the first digit (from right to left) the power of 2 is 20, the second digit the power of 2 is 21 and we continue in the same way until the last number on the left. Then, to form the number 10102. Number 10 (decimal) in binary.

Binary Number System - Binary to Decimal

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