Dynamic Range and bits is not the same.
Bits are colour information, basically how many different colours your camera can show in each pixel.
8 bit holds 256 shades of grey
12 bit 4000something shades
14 bit 16000something shades
A7s has 14 stop dynamic range in a 8 bit codec, the sensors has more latitude in shadows, but the colour information is still very low. If you are using the A7s you will have to struggle a lot more to get good skin tones and deep colours.
BMPCC has 13 stops 12 bit
The sensor of the MK III has around 12 stops. 14 bit
Though I am not entirely sure if you can bind yourself to the 12 stops of the MK III, cause you can ETTR and win a lot of information in shadows and still retain almost all detail in highlights.. To me it seems the DR of the MK III surpasses 12 stops easily. But I have no science to back this up, only a feel.
I don't have the exact math here, someone a bit smarter than me can put up the 14bits*(per pixel) * 1920x1080 = (what I am talking about)
