Both Nikon A and Nikon A1000 have 16.0 MP resolution sensors but Nikon A's sensor is APS-C (23.6 x 15.7 mm ) and Nikon A1000's sensor is 1/2.3 (6.17 x 4.55 mm ).
Since Nikon A'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 A1000.
Below you can see the A and A1000 sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon A and Nikon A1000 Cameras
As seen above, Nikon A has a 13.2x Larger sensor area than Nikon A1000. 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
Nikon A
or the
Nikon A1000 ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(APS-C versus 1/2.3),
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.