DAC output voltage

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I assume you mean 0.3Vrms which would be 0.85V p-p. It all depends on your DAC supply rails so this might be reasonable for a 1.8V rail DAC. As long as the DAC is achieving the 96dB signal-to-noise that 16bit digital aspires to you should have no problem with adding clean gain.

I have seen 1Vrms as a more typical 0dBFS level. Care to share the DAC schematic and we could comment further.
 
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