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C multiplication -> float/int

Hello,
My colleague asked me a very good question about how is done on the very low level a multiplication. And then what is the difference between a multiplication of int and float (both 32 bits).
I guess this depends on which compiler is used but I don't have more clues.
Since my assembly class was so long time ago, I am looking for help !
Thanks !
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Thanks for the fast reply !
My colleague gave up in looking for more details about the low level functions of the CPU :)