Will the iPad 2 digital av adapter (with the lightning to 30 pin adapter) work on iPad 4

I have recently upgraded to an iPad 4 from an iPad 2. I have the 30-pin digital AV adapter, camera USB, and card reader from the iPad 2. I would like to know if these will work on the iPad 4 (if I buy the lightning to 30-pin adapter).

Apple 30-pin Digital AV Adapter

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