I'll be converting 12VDC to 5VDC with a 7805. My question is, are the input and output caps still required? The 12VDC source is a wall adapater, and I figured the input won't oscillate at all. I'm trying to make my circuit as small as possible.
Note: I'll be using the 5VDC to power up the Atmega328 (Arduino UNO chip).