Binary number system to other number syatem conversation.

Binary number system to other number system convertion:-

   Binary number system is a number system in which only two numbers are present as 0 or 1. In this number system only two numbers are present so the base or radix of this number system is 2.
 

Binary to decimal convertion:-

   *any given binary number can be converted into in a equivalent decimal number  by using Positional number to each other.

Method for convertion :- 

1) write the given binary number with space. 

2) now apply Positional weight to each number. 

3)cross out all weight under the zero. 

4) add the raimaing weight. 

5) this addition gives equivalent decimal number of given binary number. 

*Let's we take a example of this conversion.

Ex :-


Step 1) :- write the given binary number with space. 
step 2) :- now apply Positional weight to each number. 

step 3) :- cross out all weight under the zero.



Step 4):-  add the raimaing weight. 

      =  8  +   2
      =   10


So answer is 10,..

  1010 = 10.

In this way we can convert any binary number into decimal form. 

For fractional part :-


For fractional part, for convertion of binary to decimal convertion is same. But Positional weights for fraction part is not same,  Means positional weights for fractional parts is different. And for integer part is different. 

*Let's we take a example of this conversion.

Ex :-



Step 1) :- write the given binary number with space. 

step 2) :- now apply Positional weight to each number. 


step 3) :- cross out all weight under the zero.




Step 4):- for this fractional part convertion, we add interger reaming weights seperatly and fractional remaining weights seperatly. 


For Interger part  =  2
For fractional part = 0.5


So answer is, for integer part = 2,
                         For fractional part = 0.5

  10.10 = 2.5

In this way we can convert any fraction binary number into decimal form. 


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