Both Canon 1D X II and Canon 6D have Full frame sized 20.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the 1D X MII and 6D sensor size comparison.
Sensor Size and Resolution Comparison image of Canon 1D X II and Canon 6D Cameras
Canon 1D X II and Canon 6D 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
Both Canon 1D X II and Canon 6D sensors have been tested by DxoMark. DxoMark scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Of the two cameras that we are comparing, 1D X MII has scored 88, 6 points higher than 6D.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Canon 1D X II
88
24.1 bits
13.5 Evs
3207 ISO
Canon 6D
82
23.8 bits
12.1 Evs
2340 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
Canon 1D X II
or the
Canon 6D ,
including hyperfocal distance.