A differential amplifier amplifies a difference V, but does not amp a common mode V.
When sensor is far from A/D and say there is a drop in ground buss between A/D
and sensor, of say 1 V, then both A/D inputs would experience the 1 V which does
not appear in output when the A/D amplifies the difference:
Vin+ - Vin- = 1V - 1V = 0.
But if A/D was single ended, say Vin+ = 1V, Vin- = 0V, then V into A/D
= Vin+ - Vin- = 1 - 0 = 1. So ground drop is added to signal being amplified.
By superposition you can figure this out.
Now you cant tell what is sensor value because its all one V. Basically
differential operation eliminates CM voltages from the signal chain, just
leaving the signal in the chain being amped.
If the A/D input is offset such that the sign bit, MSB, never changes, then a
16 bit converter, sign bit being MSB15 (of bits 0 - 15) is irrelevant, so converter
functions as 15 bits.
Regards, Dana.