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Most modern processors are 64 bit, so they're capable of addressing ridiculously large amounts of memory if the OS is also 64-bit ... the practical limits are really "what sizes of memory modules are commercially available", "how many memory modules will physically fit into the computer", and "how much can you afford".

Theoretically with 64 bits it's possible to address up to 16 exabytes of memory. This would be over a billion 16 GB DIMM modules. So you don't need to worry about hitting the limit any time soon.

If the OS is only 32 bit ... for desktop machines, Windows XP was the first version of Windows for which 64 bit was really an option, and Vista was the first version where it was at all common ... then the maximum memory size is just 4 GB (and in practice the actual usable memory will probably be less, because the upper part of the memory address space is usually used for other purposes).

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