If you're on pc just go to where you have the game stored, open the old version folder, then open the game folder and copy the folder that's named saves. Now just head back to the folder with the current version and paste the saves folder into the game folder there
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You actually don't have to do this. All saves on PC, Mac and Linux are saved to two locations - one is in the game's "saves" folder and the other is stored in a separate location on your computer. When you load up a new version the game will search for saves in both locations and move them from the external folder into the "saves" folder for you if the "saves" folder is empty :)
In short, on PC, Mac and Linux you just extract the new version to a fresh folder and play!