Binary means consisting of or relating to 2, especially any kind of system that has two of something. The 'binary system' often means the numerical system that consists only of 0 and 1, as opposed to the decimal system that uses 10 digits. But there are binary stars, two stars that orbit around each other, and the word is used in many other ways as well.
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Binary is a number system which only has two possible digits. That corresponds with the on and off signals in computers, where 0 means off and 1 means on.
Binary digits are often used in convenient groupings. For instance, 4 binary digits (a "nybble") represent a single hexadecimal digit. Hexadecimal is a 16-base number system with digits 0 to 9, A to F, thus giving 16 possibilities. Eight binary digits, or two hexadecimal digits, is another convenient grouping called a byte. A byte represents 256 possibilities.
The binary system means you count numbers as 0 and 1 only. This system is used in the computers. It is relating to a system of numeration having 2 as its base. Accordingly,
0 is written as 0 in Binary system
1 is written as 1
3 is written as 11
4 is written as 001
5 is written as 101
6 is written as 011
7 is written as 111
8 is written as 0001
9 is written as 1001
10 is written as 0101
Generally Binary is defined as: