Integers in different bases help please?

Question

what is the multiple of 4512 x 3 in base 6


is it 22340 in base 6 or 40340 in base 6?
^^

help me plese..

i am confused @_@

Answer 1

22340.

I find that if I do the multiplication base 10 and convert as I go along I get less confused about what I am doing. So, I do it like this:

3 x 2 = 6 base10 and 10 base 6, so write a 0 and carry a 1.
3 x 1 + 1 = 4 base 10 and 4 base 6, so write the 4
3 x 15 = 15 base 10 and 23 base 6 so write the 3 and carry the 2
3 x 4 + 2 = 14 base 10 and 22 base 6 so write the 22 and we're done.

At least that works for me.

HTH

Charles

Answer 2

It's 22340. You're right.

4512 x 3.

Multiply 3 x 2, get 10. Write down 0, carry 1.

Multiply 3 x 1 and add the carried 1, get 4. Write it down.

Multiply 3 x 5, get 23. Write down 3, carry 2.

Multiply 3 x 4, get 20, add the carried 2 to get 22. Write it down.

Answer 3

4512
3 x
--------


3*2 = 10
3*1 = 3
3*5=23
3*4=30

with rhis info you shold be able to do your homework