Follow these steps to find your computer name:

1. Open System by clicking the Start button,
clicking Control Panel,
clicking System and Maintenance,
and then clicking System.
2. Under Computer name, domain,
and workgroup settings
,
you can find your computer’s name,
and its full computer name if your computer
is on a domain.

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Or, right click, My Computer, Computer (win7)
then Click on Properties.