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Given an analog sensor whose output voltage range is [0V, 4V]. If the required sampling accuracy is, at least, 2mV, then which ADC you should

Given an analog sensor whose output voltage range is [0V, 4V]. If the required sampling accuracy is, at least, 2mV, then which ADC you should choose: 8 bits, 10 bits, 12 bits or 16 bits? Please justify your solution.

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