Both Fujifilm X20 and Nikon P7700 have 12.0 MP resolution sensors but Fujifilm X20's sensor is 2/3-inch (8.8 x 6.6 mm ) and Nikon P7700's sensor is 1/1.7-inch (7.44 x 5.58 mm ).
Since Fujifilm X20'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 Nikon P7700.
Below you can see the X20 and P7700 sensor size comparison.
Sensor Size and Resolution Comparison image of Fujifilm X20 and Nikon P7700 Cameras
As seen above, Fujifilm X20 has a 1.4x Larger sensor area than Nikon P7700. 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
Fujifilm X20
or the
Nikon P7700 ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(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.