Recommendations
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If you'd like to find out how much power (in watts) your current (pun!) PC uses at full load, the eXtreme PSU Calculator found here
eXtreme Power Supply Calculator v2.5 is a good tool to help you find that out.
So now for the recommended PSU specs. For starters its recomended that you get a quality power supply, yum-cha brands often don't perform to their rated wattage. 300W PSUs may only be able to actually reliably output 250W. Antec, Silverstone, Enermax and OCZ are generally quite reliable PSU's. But there are many other brands that will do the job. There are instances of people using a 6800 Ultra with a 250w PSU. But they know what they are doing and have taken special care in the choice of hardware and monitoring, so it is not recommended. For cards drawing over 80w I suggest a 400w PSU or more, and for cards using over 100w to invest in a 480W+ PSU (while also using CPUs from around the same generation). But in SLI/CF mode with any card from the 6800/7800/X1800/X1900 series it is recommended that you power it with no less than a good quality 550w PSU. And for cards in the 6600 series it is recommended a 480w psu be used. Of course all this depends on your CPU and other components which have to share the available power, which is another section on it's own!
These recommendations take into account the usual configuration that a modern computer uses, such as multiple hard drives, dvd burners, fans, and many expansion cards and other ad-ons. So with these recommendations do not be afraid to have multiple devices.