How to use two computers on one monitor?

I I want to build up a new system just for doing one task alone and it makes no sense I buy another monitor when I already have one.

I want to know how do I use one monitor but have totall controll of two computers?

I mainly want to use the other PC to convert DVD to mp4's.

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Buy a KVM solution (Keyboard, Mouse Video switch)

Most PC shops sell them

Usually a hotkey set on the keyboard switched the user from 1pc to other, also use 1 keyboard and mouse, not 2

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you have to purchase a KVM switch
There are switches you can buy that will feed the video from each computer to a single monitor, just one at a time.
Try this website for some options:

http://search.geeks.com/?SH=A%3dkvm%7eB%...

I'm not familar with geeks.com, but their prices look good, and it's a good place to research different brands of hardware. Keep in mind that you'll also need cables for one or more PCs that you want to attached -they're seldom included. Good luck!...
KVM switch.

And please, you tigerdirect people need to stop spamming their store - THE PRICES ARE TOO HIGH.
Get a KVM from Tiger Direct.