Question

Convert the base-ten number to a number in the indicated
base:
396 to base twelve

Answer 1

what is 12 in base 12?

Answer 2

$$ \text { Assuming 12 is decimal } 12_{10} = 10_{12} $$

Answer 3

Hence
\[ 24_{10} = 20_{12} \]
\[ 36_{10} = 30_{12} \]
Following, My?

Answer 4

not really..:((

Answer 5

@JamesJ even I am getting your clue :P

Answer 6

What are the first 11 numbers in base 12? We write them as
1,2,3,4,5,6,7,8,9,A,B

Then 12 (base 10) in base 12 is
10

To make it clear that this "10" isn't ten, we usually write the subscript
\[ 10_{12} \]

Answer 7

Ok. Given that, how would we write in base 12, the decimal number, the base 10 number 13?

Answer 8

$$ \text {Anyways, assuming 396 is decimal } 396_{10} = 290_{12} $$

Answer 9

When you need to convert a decimal to another base we do it by dividing the number by the desired base and collecting the remainder in each step.

This follows directly from the definition of positional system which represent any numbere as a polynomial of a radix r

Answer 10

then?

Answer 11

then what ?

Answer 12

FFM, since you've given the answer, it's all yours now to explain it.

Answer 13

James, I would love to .. but I don't understand hir query .. "then?"

Answer 14

FFM,then, how can u have 290?

Answer 15

\[396=\underline{2}\times 12^2+\underline{9}\times12^1+\underline{0}\times12^{0}\]

Answer 16

FFM, please, explain...

Answer 17

This is how I did this is actually same what Zarkon posted .. just the short ways :