Express $\displaystyle 101101_2$ in base 4
okay im not sure what the question means but the answer was $\displaystyle 231_4$.
Hello, requal!
Express $\displaystyle 101101_2$ in base 4 without evaluating.
Answer: $\displaystyle 231_4$
The usual way is to convert the number to base-ten, then to base-four.
But they expect us to convert to base-four directly.
This can be done by breaking the number into two-digit groups: .$\displaystyle 10\;11\;01 $
$\displaystyle \text{Then convert each each pair: }\:\underbrace{10_2}_{\downarrow}\:\underbrace{11_ 2}_{\downarrow}\:\underbrace{01_2}_{\downarrow} $
. - . - . . . . . . . . . . . . . . . $\displaystyle 2 \quad\;\;\: 3\quad\;\:\:1 $
Therefore: .$\displaystyle 101101_2 \;=\;231_4$