do 64 bit drivers work for 32 bit windows

i have a hp laptop which had windows 7 64 BIT , then i planned to reinstall windows
so i used two different driver backup programs (driver magician and driver genius) , and i completely backed up the drivers
then i formatted the system partition and performed a clean windows installation , but this time i installed a 32 BIT version , and when i tried to restore the drivers from the backup program itself nothing was restored , and when i tried using windows device manager to restore them it kept saying that the driver program is already up to date (although these driver programs weren't installed at all)
is this problem because i installed a 32bit windows or that's something else !!!!!!!!!!! , please help me

As said before, 64-bit drivers are not compatible with 32-bit operating systems, visit your model or motherboard support page and then download the drivers from there.

I never trust or use third-party programs which claim to update drivers or back up drivers.

32 bit OS - 32 bit drivers
64 bit OS - 64 bit drivers

No exceptions.

The difference between a 32 and 64 bit OS is not just 32 bits. Internally they are very different.

i used this software for thousand times before and it worked just fine
i guess i'll just reinstall windows (64 bit) version this time and see if the problem's solved
thanks for the help guys :)

You can actually keep using the 32-bit version of Windows, installing the drivers manually from the motherboard manufacturer's website won't be hard. You only need the brand and model of the mobo and you are ready to install the drivers from the website. Apparently, you have 4GB RAM so it'd be a wiser decision to go for the 32-bit version of WinOS.