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DataPacRat comments on Thinking Bayesianically, with Lojban - Less Wrong Discussion

11 Post author: DataPacRat 24 January 2012 06:47PM

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Comment author: DataPacRat 24 January 2012 10:30:42PM 1 point [-]

Okay, so we don't actually have to change the base we're counting in, we'd be changing the units we're counting - instead of X number of decibels, it would be X number of bits, and X can be expressed in base 10 either way.

I'd like to take a day or so to think about the best way to approach this - it may very well be as simple as adding a note to the reftext about how to convert decibels to bits by dividing by three.

Comment author: [deleted] 24 January 2012 10:44:59PM *  1 point [-]

Yeah, number of bits is still expressed in base ten (lol, I just realized that all bases are base 10 in their own base).

I don't know about this divide by three business. it's not exactly 3. You should use the correct value.

EDIT: log(10)/log(2) = 3.3219

Comment author: thomblake 25 January 2012 08:05:14PM *  1 point [-]

It seems like divide by 3 should be about right. 2**10 is roughly 10**3, so 30 decibels is about 10 bits. (1024 versus 1000).

Comment author: [deleted] 25 January 2012 08:40:15PM 1 point [-]
log10(1024) = 3.010
10/3.010 = 3.32

You are right, the conversion factor is 3.01.