Backwards compatible games will be available later this year for the general public, new games are added periodically and are added to this list as they become available.
Please keep in mind that not all games will work on backwards compatibility due to licensing and rights etc...
If the game is available for Backwards Compatibility both digital and disc versions of the game will work on the Xbox One. Digital titles will be available for download from the "Ready to install" list found in "My games and apps"
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