Fujifilm X-A2 has a
16.0MP APS-C (23.6 x 15.6 mm ) sized CMOS sensor and features EXR Processor II processor. On the other hand, Sony A560 has a
14.0MP APS-C (23.5 x 15.6 mm ) sized CMOS sensor and features Bionz processor.
Below you can see the X-A2 and A560 sensor size comparison.
Sensor Size and Resolution Comparison image of Fujifilm X-A2 and Sony A560 Cameras
Fujifilm X-A2 and Sony A560 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the 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 X-A2
or the
Sony A560 ,
including hyperfocal distance.