Both Nikon P7800 and Olympus 1 have 1/1.7-inch sized 12.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the P7800 and 1 sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon P7800 and Olympus 1 Cameras
Nikon P7800 and Olympus 1 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.
DxOMark Sensor Scores
Both Nikon P7800 and Olympus 1 sensors have been tested by DxoMark. DxoMark scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Of the two cameras that we are comparing, P7800 has scored 54, 3 points higher than 1.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Nikon P7800
54
21.2 bits
11.7 Evs
200 ISO
Olympus 1
51
20.7 bits
11.6 Evs
179 ISO
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Nikon P7800
or the
Olympus 1 ,
including hyperfocal distance.