Converting decimal numbers to binary numbers

Binary equivalent of a decimal number is obtained by dividing the number decimal successfully with number 2, as is the base B of the numerical system.
In each division, the remnant described in a column, and the division continues until the number is divided is not zero.

Example : 

Shortly for the Binary numbers system

Digital system to which the numbers are written using only the digits 0 and 1 is called the binary number system.
Binary numbers base is B = 2.
Numbering system that is used by computers for all calculations
An example of binary string :
11010111011

Converting numbers

The base of the decimal system of numbers is B = 10, because the numbers in the numerical system written using 10 different digits:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Any number X.Y numerical system based B can be written as a floating point number N through with (m + n) elements, like this:

Table of Numeral Systems

Numeral Systems

Present numerical systems arranged piles of symbols (digits), who defined four basic mathematical operations:
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adding (+)
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subtraction (-)
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multiplication (·)
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division (/).
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The number of different figures which are used during the writing of numbers in a digital system, is the basis of the numerical system.