Question

How do I solve this?
Convert the numeral to a numeral in the base indicated.

16,629 to base 13

Answer 1

base 13 means the number is represented by the sum of

\[ a_n 13^n + ...+ a_2 13^2 + a_1 13^1 + a_0 13^0 \]
where the coefficients are single "digits" in the set {0,1,... 12}
usually, for "digits" bigger than 9, we use letters, A =10, B=11, C=12

Answer 2

Ok. Soo, how would I solve it? Like would I multiply the bases*base?

Answer 3

if we divide your number by 13 we will get a whole number and a remainder.

\[ a_n 13^n + ...+ a_2 13^2 + a_1 13^1 + a_0 \]
in other words we would get
\[ a_n 13^{n-1} + ...+ a_2 13^1 + a_1 13^0 \text{ remainder } a_0 \]

so the remainder (which will be 0 up to C (C represents 12) )
now divide the quotient by 13 and find the remainder to get the a1 coefficient
keep doing that

Answer 4

Give me a sec. I'll tell you what I got.

Answer 5

7752?

Answer 6

Am I right?

Answer 7

yes

Answer 8

Great!!:D Thanx sooo much for your explanation!!!:D Explained it more than I expected!!:D

Answer 9

yw

Answer 10

I have another quick question. But i'll make a new thread.