Hexa-decimal
x = 0 . E E E E E E E E . . . 1 6
Calculate 1 0 0 0 0 1 0 x rounded to the nearest integer and enter as decimal number.
The answer is 9333.
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2 solutions
1 0 1 6 x = E . E E E E E E E E . . . 1 6 x = 0 . E E E E E E E E . . . 1 6 1 0 1 6 x − x = F x = E x = F E = 1 5 1 0 1 4 1 0 = 0 . 9 3 3 3 3 3 . . . 1 0 1 0 0 0 0 x = 9 3 3 3 r o u n d e d t o t h e n e a r e s t i n t e g e r .
x = ( 14/16 + 14/16^2 + 14/16^3 ...)
= 14/16 ( (1 - (1/16) ^ (99999...) / (1 - 1/16) )
= 14/16 (1 / (15/16) ) = 14/15 = .933333
-->
10000 x = 9333.333...