will below freezing temperatures damage computers, monitors?

We don't heat our whole house...just the living room and kitchen when it's really cold and a little electric heater in the room with the incoming water pipes and washer.

I have a spare computer in the back room that will get below freezing when the temperature drops into the teens towards the end of the week...maybe as low as 5 degrees F one of those mornings so I expect that room to be well below freezing.

I don't plan to move it or even use it during that time...just wondering if cold will hurt anything?
It's shut down and unplugged.

I had a laptop that got into the 20s many times in my service truck.  It would make me wait while it warmed up in the mornings but worked many many years.
I think freezing with moisture would be a problem.  Moisture without freezing would be a problem.

Freezing is not bad for common electronics, if you take them from freezing to high temps to fast it can make condensation/moisture which is bad for them.  

Thank you both for such quick responses!
...and just the answers I was hoping to hear.
It's an old pc so no great loss if it doesn't make it but was hoping it would be OK.

Now I can go back to worrying about covering my outdoor plants and things

We don't usually get prolonged cold snaps like this one coming up.