Do Gameboy games work on DS?

Miscellaneous Forums/General Discussion/Do Gameboy games work on DS?

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Genexi2

Here's the full list, hopefully will clear-up some confusion.
(is it sad that I own every generation/update of each Nintendo handheld?)

Legacy = GameBoy/GameBoy Color

DS Lite : DS, GBA
DS Phat : DS, GBA, moddable to provide legacy support
GB Micro: GBA only
GBA SP : GBA/Legacy
GBA : GBA/Legacy