idc:So the USB connector in the DAC is missing a couple or whatever of its connectors so there is no circuit for the power. So a product such as the Fireye II USB DAC, which can powered by either the mains or USB can switch between the two, somehow.
Yes, using the switch clearly visible in that picture. The USB connector in that DAC has all its connections, and the switch selects the power source.
By the way, HDMI cables also carry power as well as signals, which is how some switchboxes and repeaters are powered, although most also have a power input, too.