Search engine parameters to exclude websites?

Does anyone know if it's possible to perform a search which does NOT return results from a particular website? If so, how?

Just to clarify, if I want to restrict my search for Gordon Brown at Premium Link Upgrade , I can enter the following into a search engine: site: Premium Link Upgrade "Gordon Brown". What I'm looking for is a way of finding all the other results that would be filtered by a search like this i.e. one that excludes Premium Link Upgrade .
 

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