What is 8 in base 3 and please give method?

Answer 1

to convert to bases (that are less than 10) from decimal, you continuously divide the decimal number by the base (or squares, cubes, etc of the base) until you have a remainder, which you use as the unit.

E.g. to conver 511 into base 4, you have to divide 4 by the biggest of 4, 4x4, 4x4, 4x4x4, etc, and write that first, then work your way down

4x4 = 16

4x4x4 = 64

4x4x4x4 = 256

4x4x4x4x4 = 1024 which is too big and will not work

so 511(10) -> x(4)

do

511 / 256 = 1 remainder 255

then 255 / 64 = 3 remainder 63

then 63 / 16 = 3 remainder 15

and so on and so on

eventually you get

511(10) -> 13333(4)

SOOOO...

the (much easier) example of 8(10) -> x(3)

8 / 9 doesn't go

8 / 3 = 2 remainder 2

so the answer is 22(3) or 22(in base 3)

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