The Logic Off Topic list

So what number of db corresponds to multiplying the volume by exactly 2? 
That will preserve the bit relationships, right? Is 3 db "twice as loud"? 
I think I read that this is very subjective and there are different 
opinions, but there should be one definite answer as to sliding every bit 
over one place from least toward most significant bits. For example turn 
7 = 0111 to 14 = 1110.

>OK. Imagine this: you have a 3 bit soundfile, which gives you 8 steps. The
>volume of your sine tone is "7". You reduce the volume by -6 dB (normalizing
>does nothing else than changing volume), though half as loud. 7/2 = 3.5, but
>how will it be showed, as 3.5 does not exist? It is either 3 or 4 in the
>digital domain & voila our rounding error & quantization noise. Well with 16
>bit & 24 bit, the resulting noise is of course of much lower volume, because
>the steps are far smaller. Of course you are also working with a complex
>wavefile & the result will be different for every cycle & at very low
>volume, but believe me, it has a reason why Mastering Engineers do not
>normalize!