Actually you could install Windows 7 64bit with 2 GB of ram. It won't be quite as responsive as if the system had 4 GB of Ram, but more than likely it will not feel any slower than the 32 Bit version.
Gaming should show very little difference, if any. (meaning that if you have only 2 GB of ram, you will not see any major difference if it is a 32 or 64 bit system.)
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if you install more ram, for example 4 GB on a 32 bit version (so, only about 3.5 GB usable) and on a 64-bit. Seriously...the question is how will Windows 7 run, not how will 64-bit run vs 32-bit.
You won't be able to tell the difference between the two.
For more ram, Windows 64 Bit is the way to go. !!!!!
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and last but not least, that:
Windows 64 bit, in this case the WoW64 subsystem emulates only the 32-bit environment (that's how 32 bit applications working in a 64 bit system) through an additional layer between a 32-bit application and the 64-bit Windows API.
In some places this layer is thin, in others a bit thicker.
For an average program, you may expect 2% performance penalty because of this layer. For some programs, it can be larger.
Two per cent is not very much but keep in mind that 32-bit applications work a bit slower under the 64-bit Windows than in the 32-bit environment."