ADC DC Offset is an expected DC offset in the ADC's measurements. For example, on the NI-5733, If the ADC is fed precisely 0V t it will read +/- 7.1 mV. For example, a 100mV signal fed in would have the DC gain error multiplied by the 100 mV signal and then a flat +/- 7.1 mV added on after that.
DC-coupled common mode output is the voltage the ADC will actually drop over a 50 ohm termination. If the devices is attached to a wire with 50 ohm termination onto AI0, a DMM to probed across the connector would read +/- 0.8 mV in DC coupled mode. This would not exist in AC coupled mode.
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