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Here as you can see the Audio Tracks from your DAW are converted from Digital to Analog and sent to the Summing Mixer, which in case of the above image is a Dangerous Music Box.
Here these Analog Signals get Summed from the DBOX into two channels i.e L and R and go back into your A/D converter and then to your Monitors.
It’s pretty obvious what makes this argument a fail, here irrespective of where the audio is being summed Analog we are still converting it back into a digital signal that is, it is going through the A/D conversion once again.
We know that the headroom of a system (Digital System) is defined by its bit depth. What it means is that the headroom of your recordings/mixes/masters will be defined by the bit-depth of your session. A session in 24bit will have 16,777,216 values and hence has a headroom of dB= 20 log(16777216/1) = 144dB as opposed to the 96dB of the 16bit system.
So irrespective of your signal going from Digital into analog Summing it eventually comes back into your A/D convertor and the limit on your headroom is set again by the bit depth of your convertor.
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