Deus Ex was released for Mac in 2000, but it was for PowerPC Macs, and as such is no longer supported on any recent version of Mac OS. Wikipedia points out:
The PC version will run on Intel-based Macs using Crossover, Boot Camp or other software to enable a compatible version of Microsoft Windows to run on a Mac.
So you could use something along the lines of VMWare Fusion to run Windows on your Mac, should you choose. I've not used VirtualBox to run Windows on a Mac, but that's another option. This would require you to own a license for a version of Windows, plus a copy of VMWare Fusion, VirtualBox, or Apple's own BootCamp.
You could also try using Darwine or some other variant of Wine to run the game, which wouldn't require VMWare or a copy of Windows. Word is that this method works well, although it likely will require some tweaking and config file editing, so if that sort of thing makes you squeamish, you have been warned.
Since the game was released for Mac OS 9, if you had a Mac OS copy of the game, you might be able to get it going with SheepShaver. Again, not for the weak of heart, but possible.
There was no Xbox or Xbox 360 version of Deus Ex, so having an Xbox won't help. However, it was ported to the PS2, if you could turn one of those up plus a copy of the PS2 port.
Finally, if you could find an old laptop or computer from the last 10 years that nobody minds you borrowing, you could just run it natively in Windows, as Warren Spector intended. The original game is still available, it's on Steam, for instance.
There's really very little plot-wise that connects the two games (a few minor things you might not catch if you haven't already played DE. Most of it is past the end credits, and little to nothing carries over between HR and DE2). Plus Human Revolution is a prequel, so you could play this game first, then play Deus Ex, which would be, in effect, playing them in chronological order.