A few years ago, or maybe last year, I heard Simon Singh talking on the radio about his number series which would also be on the radio in a couple of weeks (from then not now). He mentioned that the distribution of digits from any source (lengths of the worlds rivers, scores in bridge, distances of stars, prices on the stock market etc.) were not evenly distributed but followed a pattern with 1 being the most common. *
Since that fateful day, all that time ago, I managed to totally forget what the theory/law is called and whenever I’ve tried to tell people they look at me like I’m stupid or boring. Luckilly the popular advertising weblog boingboing has picked up on it so now I know that it’s called Benford’s law and there’s a pretty good page on Math[s]world about it. What the Math[s]world page doesn’t tell us but I would like to know is: What happens to the distribution of digits if you render all the numbers in a different number base, like binary or hexadecimal. So if you, or anyone that you know, is good at maths and stuff or has plenty of spare time on their hands can you let me know please? Thanks!
And then el bhahto said:
PD=log10(1+1/D)
This is the formula for the probability of a number starting with the didit D (ranging from 1 to 9) in the decimal numbering system. To change to binary or hexadecimal or whathaveyou just change the log to the base ten to log to the base 2 or 16 or whathaveyou.
Hope this helps,
And then el bhahto said:Andy R.
Sorry, can’t seem to get subscripts to work. In the equation at the top of my reply the first D and the 10 should be subscripted.
And then tom said:You rule!
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