I'm going to put together a computer that is silent and draws little power. This machine is going to keep an eye on our home, monitoring temperatures, hosting a web server som that I remotely can activate an air source heat pump, hosting web cameras etc. What types of computer would be suitable for my needs?
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You can contact NASA for this!
lol doesn't sound like you need a low power computer.
A low to mid end computer with onboard graphics, shouldn't draw too much power.
What types of computer would be suitable for my needs?
A dual-core Atom can do that while consuming about 40W. But you might be better off with a low-power i3 or i5 system so it has more CPU power available if it needs it.