How do you make an old computer game work on a new computer.?

I have the Lost Mind of Dr Brain which I used to play on an old computer. I now have 2 computers, one with XP and one with Vista. I cannot get the game to work on either. I was told that there was a way of making the game compatible with these new versions. Does anyone know how to do this?How do you make an old computer game work on a new computer.?
I know that on Windows XP, you can right click the file and click the Properties tab. Click Compatibility, and check the box 'Run this with Windows compatibility for...' and then select the operating system.

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