Errors and Floating Point Representation

Inherit Errors:-

                      Errors which are already present in the statement of a problem before a solution is called Inherit Errors.

Rounding Errors:-

                      The errors on the process of the rounding of the number during the computation.

Truncation Errors:-

                      They are caused by using approx. results or replacing a infinite process by a finite one.

Absolute Errors:-

           True Value  –  approx. value  

                      X=True Value

                      X'= approx. Value

                         |e_a =X-X'|

        e_r=true value  –  approx. value 

                         True value      

                  =      Ea

                     True value

       e_p=true value  –  approx. value   ×100

                        True value                
       

                  =    e_a/ū × 100      

                                    Here u = x .