i'm trying to understand how to add two numbers in IEE754 half precision format , i haven't found a good reference/tutorial on this , so i've tried to follow the 32 bit floating point addition procedure , but at some point i'm stucked , what i know is:
Half precision (16 bit) IEEE 754 floating point number bit configuration is:
1 bit for sign 5 bit for exponent bit and 10 bit for mantissa.
i have two numbers:
so i rewrited them as
1 11000 1000000001 0 00000 1100001111
before adding them i have to convert them in normalized binary scientific notation (i don't know if i'm right):
Convert the exponent of the first number in decimal: 24 Subtract bias (that is 15) so i have: 24-15 = 9 so the exponent is 9
so the mantissa is : 1.000000001 * 2^9
But i don't know how to continue , can someone please explain me the correct process for solving this , or link me a good reference/title of a book for understanding this procedure? i'm searching on Google and trying to understand on different books , but i can't clarify this procedure to myself.