Can I buy a Xbox One S All-Digital Edition and migrate all of the games from an Xbox One S?

You have names mixed up. There are no consoles named the Xbox One Series S or Xbox One Series X.

The Xbox One/One S/One X all have a disc drive.

The Xbox One S All Digital Edition does not have a disc drive.

The Xbox Series X has a disc drive.

The Xbox Series S does not have a disc drive.

All the consoles can play backward compatible games. The Series S and One S all digital edition can only play games digitally downloaded.

The other consoles can play games from disc and from digitally downloaded,

I hope this clears things up for you.

Translation:

xbox one s all digital edition vs physical games

Good Morning. I got an xbox one s 1tb all digital edition but I have physical games on dvd. I can't use them? Would I have to buy them again?

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Answer:

Hi, unfortunaltely you can't use your dvd games on the xbox one s all digital, if you want to play them you need to buy again a digital copy of them... there were some rumor about an official process of convertion from phisics to digital copy to be applied
by Microsoft, but as of now there is no way to do it, maybe they will start a program in the future but for now you can't use them.

Hi there,

You can only play digital games in the Xbox One S All-digital, which means, games you buy online from the Microsoft Store.

If all the games that your son has are physical format (discs), then it is better to get a normal Xbox One S. You would have to buy the digital version of any game if you want to play it on the Xbox One S All-Digital, regardless if you have the disc or
not.

In case you choose to get an Xbox One S-All Digital, you can transfer all the digital games and apps from your son's console to an external drive, and then just plug it to the new console to play.

Manage storage on Xbox One

How to choose and use an Xbox One external hard drive

Disc-based games will not work on the Xbox One S All-Digital Edition. However, all digital games can be transferred to the new device. If you have a library of disc-based games, you would need to purchase an Xbox One family device with an optical disc
drive.

As long as you own the digital version of the game, then sure you can copy it straight across via the network or even an external hard drive. but obviously CD based games wont work anymore.