Not a dumb question at all. You do not have to install a separate circuit. The 7100's maximum power requirements are listed as 1200W, which on a 120V system would equate to somewhere around 10 amps -- leaving 5 amps of the typical residential 15 amp circuit free for other equipment (the 950 would need less than 0.5 amps, as would a DVD player, but the TV may need several amps). But that is the
maximum output -- that's all
seven channels being driven to near maximum output, which would be a very difficult thing to actually do in real life. The real world consumption is very difficult to figure (I've tried to determine a realistic diversity several times, in order to figure out median heat gain from equipment like amps -- you'll never see the same estimate twice), but it is definitely less than the maximum.
It would be preferable to put any multi-channel amp (and home theater in general, even if you are not using separates) on a lightly-loaded circuit to provide some "elbow room" for the equipment and to reduce noise added to the circuit from other electrical equipment. I used to run my Outlaw 750, TV, and other home theater components on a circuit that was shared with the refrigerator and microwave without harming anything, although I did have some noise, presumably donated by the fridge's compressor. I now have it all on a dedicated circuit -- done both to isolate the equipment and more importantly to provide a grounded circuit for it all, since the existing circuits in the house are ungrounded.
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