In a sensible language ( any of C/C++/C#/Java/Python or similar) create a program which correctly calculates add, subtract, multiply and divide for

In a sensible language ( any of C/C++/C#/Java/Python or similar) create a program which correctly calculates add, subtract, multiply and divide for our minifloat binary format using an algorithm you code yourself. Some details:

Your program only to work on two 'numbers' at a time. For each 'number' store the sign, exponent (4 bits) and mantissa separately.

E.g.

Struct miniflaot{

Int sign; // sign, actually 1 bit

Int exponent; // this is the exponent and is 4 bits long (0-15)

Int mantissa; //this is the fraction part and is 3bits long (0-7)

}

Show testing for all 4 (add, sub, mul, div) with at least 3 examples. Ignore error checking for NAN and +/- 0. 

Note: This is an obviously contrived example, the intent is to force you to think about the algorithm, not to make software that anyone would ever want to use.