Is it possible to install CentOS 64-bit on a 32-bit machine?
Is it possible? If not, I would like to know why. Please explain.
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No, it is not possible.
A 32 bit machine refers to a computer with an ancient 32 bit only CPU. (On a modern PC that is usually a 10+ year old computer. Anything more modern and not configured for ultra-low power has a 64 bit capable CPU).
A 64 bit machine is a a computer with a CPU with usually supports both the old 32 both mode and the 64 bit mode of operations.
Now of you try to install a regular 64 bit OS on an old computer which does not have the modern 64 bit instructions then it will simply not run. It is as if the OS speaks in a language which is not understood by the CPU. It will simply not be understood.
[Edit] Two notes:
You can't install 64bits system on 32 bits machine.
64 Bits & 32 Bits are related to the processor.
64 Bits processor doesn't work like 32 bits processor. 64 Bits OS would like to use some specific stuff 32 Bits processor doesn't have like new programming variables...
CentOS 64 Bits would like to use these new variable on 32 Bits processor, but this last don't have these new variable => System crash => System not compatible