### Instruction: What is the base 4 representation of the base 2 number $11011000_2$?### Response: I need to convert the base 2 number to base 4, which means I need to group the binary digits into pairs and then replace each pair with the corresponding base 4 digit.
Starting from the right, I can split the number into four pairs: $11$, $01$, $10$, and $00$.
I can use a table or a calculator to find the base 4 digits for each pair.
$11_2$ is $3_4$, $01_2$ is $1_4$, $10_2$ is $2_4$, and $00_2$ is $0_4$.