Question:
IEEE 754 floating point number addition
Explore the operation of the IEEE 754 floating point format, using the following steps:
(i) Explain how 32-bit (single-precision) floating-point values are stored in memory, and the function of each bit.
(ii) Explain how two floating point numbers are added together, specifying all necessary operations on the various parts of the operands and the result.
(iii) Illustrate your answer to parts (i) and (ii) with an example - convert the ID number 1250361 to the IEEE 754 format, as well as this number with its seven decimal digits reversed. Add these two quantities and show the result as 32 bits in IEEE 754 format.
i.e. 1250361.0 + 1630521.0