How can i buy a digital copy of a game for a friend in a different country??

Currently that is not an option. Givers and recipients must always be in the same country or region.

If this is a feature that you would like to see, let's have you leave feedback here:
https://xboxideas.uservoice.com/

Good day

Currently it is not available to do this.

The gift giver and the gift receiver needs to be in the same region.

There might be some online retailers that sells digital codes that are region free.

Just search online for some retailers. Region free games will normally have a world icon to state it is able to be downloaded world wide.

Hope it helps.

No, a game that is bought digitially in a specific counrty must be redeemed in that same country it was purchased. If you're looking to purchase a game for your friend, I would recommend purchasing a hard copy and mailing it over or sending a cash payment
electronically so they can buy it digitally in their country.

Are buying a digital copy as a gift to someone else another region other than yours? Or do you own the game and playing on a different console in another region?

This is from Xbox website regarding playing a game in a different region.

If I purchase a game in one country or region, can I play it in another country or region?

Yes. There is no playback restriction on games purchased and downloaded.

For example, if you purchase and download a game in one country and then move to another country where the game isn’t available, you can still play the game that you downloaded. However, you would not be able
to redownload the game you purchased, as it would not be available for you to download in the Store

[quote user="aTk Pirate V2"]1. How will the game sharing work?[/quote]

Exactly the same as the Xbox 360. You lend your game disc to your friend, they play it. Downloaded games can only be shared on the same console.

2. Is there going to be a difference between a Digital Copy and a Hard Copy of the games ( will one be cheaper then the other &/or will one be shareable with family/friends)

We don't know about price yet, but digital download and hard copy will probably be similar price to each other. You can download games or buy the disc from day 1. The answer to sharability is in point #1.

3. Will we still be required to sign on every 24hours?

No. They scrapped that.