what's 9 x 6?

Originally posted by EmLasker
the answer says 15, I don't get it 😕

54?

Originally posted by wolfgang59
I was considering that the place values in any base x are;

x^2 x^1 x^0 (decimal point) x^-1 x^-2

which in decimal gives hundreds, tens, units, tenths, hundredths

extend to base 1/2 we get place values of

1/4 1/2 1 (point) 2 4

so that 1.01 in base 1/2 is 1+4 = 5

a) you're right!
b) so am i in theory, though i messed up when calculating my examples lol

5(decimal) should = 101. (base 2) = 1.01 (base 1/2)

similarly:

14.5(decimal) = 10110.1 (base 2) = 10.1101 (base 1/2)

and a clearer representation of the inversion of symbols:

23 = 10111. (base 2) = 1.1101 (base 1/2)

the translation from base-n to base-(1/n) is still an inversion of the symbols, but with the decimal point moved one place to the right after inverting the order of the digits. sorry for the confusion; i shouldn't drink and do math at the same time! 😉

this is because

(base x)______x^2___x^1__x^0 (decimal point) x^-1___x^-2
(base 2)_______4_____2_____1 (decimal point) _1/2____1/4
(base 1/2)_____1/4___1/2____1 (decimal point) __2______4

note: the lists are backwards copies of one another with the decimal point shifted one place. also excuse the underscores - lining up text into columns when you can't use blank spaces is ugly at best