How would you make a "logic gate" work with low-voltage logic and high-voltage output?

For example, say I wanted a high voltage circuit to be complete when I push a button, but I don't want the button to be connected to the actual high voltage. If the solution to this is not a logic gate after all, what if I wanted it to be the reverse -- so that when someone is pushing a button, the... show more For example, say I wanted a high voltage circuit to be complete when I push a button, but I don't want the button to be connected to the actual high voltage.

If the solution to this is not a logic gate after all, what if I wanted it to be the reverse -- so that when someone is pushing a button, the high-voltage circuit is off, and that when they're not, it is on?
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