### Instruction: What is the base 4 representation of the base 2 number $11011000_2$?### Response: To convert from base 2 to base 4, we can simply group the digits in pairs starting from the right side of the number.
So the number would be grouped as $11|01|10|00$.
Now we can simply convert each pair into its base 4 equivalent.
The first pair $11$ is equal to $3$ in base 4.
The second pair $01$ is equal to $1$ in base 4.
The third pair $10$ is equal to $2$ in base 4.
The last pair $00$ is equal to $0$ in base 4.