Positional weight.

Positional weight. 

  This is very important part  for Number system conversion .
  Positional weight are the number which is used on the conversation  

  Every number system has position weights excepting decimal number system  

  Actually position weights are required at that time, if any number system wants to convert into decimal number system.

  First we see positional weights on the binary number system. 

  

1) Binary number system:-

 For this number system position weight is as follow:-

  It is positional weight for the binary number system.

 

 Explanation of binary number system position weight:-

* for integer part:-

That right side which is marked, It is used for integer part means that binary number which is present after decimal number as,

   

EX:-

  Now, let's we take a example :-

1) 

  Now we write this binary number with space. 

Now we apply positional weights, 

In this manner we apply positional weights.

 For fractional part :-

That left side which is marked, It is used for fraction part means that binary number which is present before decimal number as,

  Now let's we take a example :-

Ex:-

Now we write this binary number with space,

  Now let's we apply positional weights, 

 

  Octal number :-

 For this number system positional weight is as follow :-

  This is the positional weights for octal number system.

  Explanation of octal number system position weight:-

* for integer part:-

   That right side which is marked, It is used for integer part of octal number. 

Ex:-

  Now we write this octal number with space,

  Now we apply position weights,

   In this manner we can apply position weights. 

For fraction part :-

  

  

      That left side which is marked it is used for fractional part of octal number.

 Let's we take a example. 

Ex:-

  Now we write this octal number with space. 

  Now we apply position weights, 

   In this manner we apply positional weights,.

 Hexadecimal number system:-

  For this number system positional weight is as follow :-

 It is positional weights of hexadecimal number system.

Explanation of hexadecimal number system position weight:-

* for integer part:-

  

That right side which is marked, It is used for integer part of hexadecimal number. 

Ex:-

Now we write this hexadecimal number with space.

  Now we apply position weights, 

In this manner we apply positional weights,.

For fraction part :-

That left side which is marked it is used for fractional part of hexadecimal number.

 Let's we take a example. 

Ex:-

   

Now we write this hexadecimal number with space.

Now we apply position weights,

In this manner we apply positional weights,.

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