Both Sony RX10 II and Sony RX100 IV have 1″ sized 20.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the RX10 II and RX100 IV sensor size comparison.
Sensor Size and Resolution Comparison image of Sony RX10 II and Sony RX100 IV Cameras
Sony RX10 II and Sony RX100 IV 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
At Camera Decision, we also look at Dxo Mark sensors when available as we think it is a good indicator of image quality.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Sony RX10 II
70
23.0 bits
12.6 Evs
531 ISO
Sony RX100 IV
70
22.9 bits
12.6 Evs
562 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
Sony RX10 II
or the
Sony RX100 IV ,
including hyperfocal distance.