Thanks for your prompt reply. Sorry for the horrible scrible but, above you can see how the measurements are going to be taken. the actual range of measurement is going to be from -10° to 100°, so around 120° not all 360° need to be represented. And given the position of the potentiometer the actual values in volts are going to range from around 0.8~0.9 v to 2.6~2.8 v.That is why I thought 16 bits would be enough, but maybe I should go for 18 or 20 to cover the whole range just to be on the safe side.
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