I carry the Sony RX100M3 with me and usually shoot aperture mode (generally around f/5.6 for deep dof). I notice that my camera allows for very high f-stops up to a maximum of f/11. If I calculate the 'equivalent' f-stop for a 35mm frame, and using the Sony RX100M3 cropfactor of 2.7, this would result in an extremely high equivalent f-stop of almost f/30.
I was wondering: What are these high f-stops good for when using a compact camera like the Sony RX100 series? I know that for very small apertures, the image may suffer sharpness due to diffraction. So why would one bother to use f-stops as high as f/11 for a compact camera?