Both Olympus 8000 and Nikon P7800 have 12.0 MP resolution sensors but Olympus 8000's sensor is 1/2.3-inch (6.08 x 4.56 mm ) and Nikon P7800's sensor is 1/1.7-inch (7.44 x 5.58 mm ).
Since Nikon P7800's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Olympus 8000.
Below you can see the 8000 and P7800 sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus 8000 and Nikon P7800 Cameras
As seen above, Nikon P7800 has a 1.5x Larger sensor area than Olympus 8000. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.
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
Olympus 8000
or the
Nikon P7800 ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(1/2.3-inch versus 1/1.7-inch),
so compare them at the same framing rather than the same focal length.
Put the same focal length on the smaller sensor and it will show less depth of
field, not more, because it also crops tighter. The calculator shows the
full frame equivalent focal length for each body so you can match the framing.