Write a C program that adds two 32-bit floating point numbers without using the hardware’s floating point unit (i.e. using only C’s integer operations.) You should not reimplement scanf though, because it is way too painful. In addition, I recommend focusing only on positive floating point numbers with no more than six (6) significant digits and between +10^-37 and +10^37.

Here’s some advice about how to do this: First, copy the mantissa values and expose the hidden bits so you have a 24-bit value rather than a 23-bit value. Second, shift the mantissa of the smaller value while decrementing the exponent until the exponents are equal. Third, add the mantissa values. Fourth, construct a new emulated float with the added mantissa and the common exponent. These first four steps are just a matter of C bit-twiddling. The hard part will come from dealing properly with removing the hidden bit, dealing with carrying during addition, and ensuring that you shift values correctly.