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32 bit Windows Operating Systems will not be able to access 16GB of RAM. You can see the limits for X86 (32 bit) and X64 (64 bit) here: https://msdn.microsoft.com/en-us/library/windows/desktop/aa366778%28v=vs.85%29.aspx#physical_memory_limits_windows_10
You can also read more about the 32 bit memory limit here: https://en.wikipedia.org/wiki/3_GB_barrier
If you are therefore looking to install 16GB of RAM then you would need to go for the 64 bit Operating System.
Note: for a 'standard user' of Windows including the majority of games then there is little benefit in > 8GB of RAM. If you Google you will find a number of articles on this. If you are using Virtual Machines or have other specific uses then there can be benefit for going > 8GB RAM. However many people, myself included, install 16GB RAM anyway.