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1367.6 base PI. What is it in base 10?

1367.6 base PI. What is it in base 10?

Posers and Puzzles

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Bases don't have to be rational.

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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?

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If it has a meaning
pi^4 + 3pi^3 + 6pi^2 + 7pi + 6/pi

I suppose?!?!?

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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

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Originally posted by Fat Lady
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?

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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.

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Originally posted by Fat Lady
No, it would be pi^3 + 3.pi^2 + 6.pi + 7 + 6/pi
😳
the shame ................

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A arbitrarily chosen base, integer, rational, end even real bae, never done that, very interesting.

The formula goes: sum{a(i)*b^i}
where i is an integer from low to high,
and b is a real base > 1, I suppose?

It doesn't make sense if b < 0, and definitely not when b=1, correct?

Can we use the formula to construct any real number?

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