binary system - the second most common after all the usual decimal, although few people think about it.The reason for this demand is that it is used in computing.Talk about this later, but for a start - a few words on what a general notation.
This phrase refers to the system recording or other visual representation of numbers.This dry definition.Unfortunately, not everyone understands what lies behind these words.But everything is quite simple, and the first number system came at the same time, when people learned to count.The easiest way to view the numbers - this is the identification of some objects with others, well, that's even fingers and the number of fruits collected over time.However, the fingers is much less than can be countable items.They were replaced by dashes or sticks in the sand or stone.This was the first numbering system, although the very concept appeared much later.It is called nonpositional because every figure in it has a strictly defined value, no matter what position it occupies in the record.
But this record is extremely inconvenient, and later came the idea to group items and each group represents a stone and not stick well, or other form of picture recording.It was the first step towards positioning systems, which include binary system.But finally they were formed only after the invention of numbers.Due to the fact that people originally assumed it easier on the fingers, which is a normal person 10, namely the decimal system, and has become the most common.At the disposal of the person using the system numbers from 0 to 9. Accordingly, when the score reaches 9 people, that is exhausting the stock of numbers, he wrote one to the next digit, and the unit is reset.And therein lies the essence of positional number systems: the value of digits in the number depends on what position it occupies.
binary system provides for the calculation only two digits, it is easy to guess that it's 0 and 1. Accordingly, when recording new bits appear in this case, much more: a first shift register has been going on the number 2, it is referred to as the binary system 10.
Obviously, in writing, the system is also not too comfortable, why it is so in demand?The fact is that the construction of computers decimal system was extremely uncomfortable and awkward, as the production of a device having ten different states, is quite expensive, and they take up a lot of space.That have adopted even by the Incas invented the binary system.
Translations into binary system is unlikely to cause someone embarrassment.The easiest and most intuitive way to do this - the division of the number two, as long as the response is not received zero.At the same time the remains are recorded separately from right to left consecutively.Consider for example, take the number 73: 73 \ 2 = 36 and 1 in the residue, the unit record in the far right position, all further write remnants left of this unit.If you did everything correctly, you should have received the following number: 1001001.
How to transfer numbers in binary system carries out a computer keyboard because we introduce him decimal numbers?It can also divide by 2?Naturally, no.Each button on the keyboard corresponds to a specific line in the table sets.We make our money button, the program, called the driver, the processor sends a sequence of signals.That, in turn, passes the request to the table which corresponds to this character sequence and displays that character on the screen or performs the action, if necessary.
Now you know how important in our lives has a binary system.It is very much in our world is now done by electronic computing systems, which, in turn, would be very different if it were not for this system.