How Do You Convert Numbers from Base 8 to Base 2?

[multiix]

Hi guys I'm not sure if this is the right place to post, so if its not please redirect me.

We are learning Number system conversions and I am having trouble converting anything other than base 10 to other bases. Ex base 8 to base 2.
I tried converting say 456 base 8 to base 2
This is not a homework question so
If you would like to post a General equation please go ahead. I just want to understand how to do this
Step by step.

Equations:
I'm currently writing things in the form Q and R chart

Work:
456 I try converting that to base 10, I get 302 then I divide by 2, I get 151 remainder 0 but I'm not sure if this is the correct way because I remember my teacher dissecting the 456 into 3 different number 4,5,6 and dealing with them separately. Also if I don't know if the 151 that I got is base 10 or 8

Please Help. Thank you

 

[Integral]

You must do your arithmetic in the correct base. Do do your conversion you must do base 8 arithmetic.

Another way would be to convert the base 8 to base 10 (using base 10 arithmetic) then convert the base 10 number to binary.

 

[multiix]

Oh ok. I got it that way. Thank you :)
100101110

Is there any other way of doing it without converting to Base 10 first? Not that it's hard

 

[Integral]

You can go directly between any 2 bases as long as you use appropriate arithmetic.