
Base three division
I need help with division in base three;
Find the quotient for 222(base three) / 22(base three)
it would be helpful if you can explain step by step
I also need help with subtraction in different bases beside base 10. For example 21(base four)  13(base four)

Re: Base three division
Hey JojoZ.
Do you want to convert to base 10 and do it that way or do it natively in base 3?

Re: Base three division
can you show me in both ways

Re: Base three division
In base 10 we convert both by using
2*3^2 + 2*3^1 + 2*3^0 = 18 + 6 + 2 = 26 in Base 10
2*3^1 + 2*3^0 = 6 + 2 = 8.
26/8 = 3 remainder 2 Which gives a quotient of 3 and in base 3 that is 10_(base3)
To do it in base 3 natively we use the long division algorithm
222
)
22
22 goes into 222 10 times (remember 10 is 3 not 10 in base 10)
22*10 = 220
222220 = 2
So 222_(base 3) = 22_(base3) * 10_(base3) + 2_(base3).

Re: Base three division
okay this starting to make sense, can you teach me subtraction as well?

Re: Base three division
Give me some example numbers to work with.

Re: Base three division
21(base four)  13(base four)

Re: Base three division
2113 (Base four).
1 is less than 3 so we cross out 2 replace with 1 and we get 113=2. Then we do 11 (remember we crossed out 1 in 2nd digit) = 0 so 2113 = 2(base4).
Confirming in base 10, we get 21 = 2*4^1 + 1*4^0 = 9 and 13 = 1*4^1 + 3*4^0 = 7 and 97 = 2 as expected.

Re: Base three division

Re: Base three division
Its in base 4, not base 10.

Re: Base three division
oh i get it now. Thanks so much for the help XD