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I got a Dell OptiPlex 9010 recently - it has an Intel® Core™ i7-3770 Processor. Intel declares in the specifications (http://ark.intel.com/products/65719/) that it's compatible with 64bit instruction set. But my BIOS tells me its EMT64 and not a true 64 bit processor.

So, which would be a better choice - 32 or 64 bit Ubuntu for this ? (I need to make best possible use of my 16 GB RAM, majorly for running monte carlo simulations for physics.)

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The consideration is also whether there is a program that is not easily available also for 64-bit architecture (there are some, but not many these days).

However, if you've got 16GB RAM, I would definitely suggest giving the 64-bit version a try. ;-)

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intel says it is 64-Bit architectrure compatible:

http://ark.intel.com/m/products/65719/Intel-Core-i7-3770-Processor-8M-Cache-up-to-3_90-GHz?wapkw=i7+3770

Using 32 bit would "waste" about 12GB RAM