o hey tyler
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Then why does a crop sensor have a different DOF than a full-frame one when all else is the same?
Because on a crop sensor, you are framing the same shot at a different distance than you would with a full frame body. If the D7100 has crop lines for the smaller format size, you would have to move back to frame the same shot. If you chose not to move, and just engaged the crop mode, the DOF would be the same but the resolution would be smaller.
Since you have a full frame camera, take a photo of a ruler with a macro lens. Go for 1" of DoF. Crop that image as much as you would like, the depth of field doesn't change from 1".