i can't seem to figure out how to convert FAB4 base 16 to octal. is there a step in between that i need to do? any help is greatly appreciated.
Hello, dblbac!
There is a trick we can use . . .Convert $\displaystyle FAB4_{16}$ to octal.
We know that: .$\displaystyle FAB4_{16} \;=\;[15]\,[10]\,[11]\,[4] $
Convert to binary: .$\displaystyle [1111]\,[1010]\,[1011]\,[0100] $
Remove the brackets: .$\displaystyle 1111101010110100$
Regroup "by threes": .$\displaystyle [1]\,[111]\,[101]\,[010]\,[110]\,[100] $
Covert to octal: . . . . .$\displaystyle 1\quad7\quad\;\;\:5\quad\;\;2\quad\;\;\;6\quad\;\; 4 $
Answer: .$\displaystyle 175264_8 $