1367.6 base PI. What is it in base 10?

sonhouse
Posers and Puzzles 05 Dec '08 08:34
1. sonhouse
Fast and Curious
05 Dec '08 08:34
Bases don't have to be rational.
2. 05 Dec '08 10:36
Originally posted by sonhouse
Bases don't have to be rational.
Surely you can only use the digits 0, 1, 2 and 3 in base pi?
3. wolfgang59
05 Dec '08 13:19
If it has a meaning
pi^4 + 3pi^3 + 6pi^2 + 7pi + 6/pi

I suppose?!?!?
4. 05 Dec '08 14:21
Originally posted by wolfgang59
If it has a meaning
pi^4 + 3pi^3 + 6pi^2 + 7pi + 6/pi

I suppose?!?!?
No, it would be pi^3 + 3.pi^2 + 6.pi + 7 + 6/pi
5. sonhouse
Fast and Curious
05 Dec '08 16:51
Surely you can only use the digits 0, 1, 2 and 3 in base pi?
I was lying down going to sleep and I realized I shouldn't use so many digits, was thinking about binary, 0 and 1, octal, 0-8 and so forth so it must be only 0,1,2,3 for PI. So what would 1223.22 be in PI?
6. 05 Dec '08 17:08
1223.22 in base pi

is

pi^3 + 2pi^2 + 2pi + 3 + 2/pi + 2/(pi^2) in base 10

I think it's better leaving it in base pi.
7. wolfgang59
08 Dec '08 08:51