The Nintendo 2DS is a handheld gaming device developed as an entry level version of the Nintendo 3DS with nearly identical hardware, but without the 3D upper screen function.
Maybe you need a r4i gold 3ds plus, it supportsNTRboot and DS Games . This card has a built in button to switch between DS&3DS mode. and it can works well on your 2ds 11.6. you can purchase it from 3DS-Flashcard site