Numeric Literals in Python

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                                                              Numeric Literals in Python 


*          A  numeric literal is a literal containing only the digits 0-9 ,  an optional sign character (+ or - ) ,  and a possible decimal point.  Commas are never used in numeric literals.

*          If a numeric literal does not contain a decimal point,  then it  denotes an integer (int) value. 

*          If a numeric literal contains a decimal point, then it denotes a floating-point (float) value.


Limits of Range in Floating-Point Representation 

*          There is no limit to the size of an integer that can be represented in Python.  But  floating-point values have both a limited range and a limited precision.

*          Python uses a double-precision standard format (IEEE 754)  providing a range of 10 -308 to 10+ 308  with 16 to 17 digits of precision.  


Arithmetic overflow: 

           Arithmetic overflow occurs when a calculated result is too large in magnitude to be represented .


Example :

                  >>>1.5e200 * 2.0e210

                  inf

     This result in the special value inf ("infinity")  rather than the arithmetically correct result 3.0e410,  indicating that arithmetic overflow has occurred.  

 Arithmetic underflow:

     Arithmetic underflow occurs when a calculated result is too small ion magnitude to be represented.

Example:

               >>>1.0e2300/1.0e100

               0.0

      This results in 0.0 rather than the arithmetically correct result 1.0e2400,  indicating that arithmetic underflow has occurred. 


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