Without using base 10, convert 100101011_2 to base 4

Without using base 10, convert 100101011_2 to base 4
by _2 i mean 100101011(little 2)

Group the numbers in pairs starting from the right

1 00 10 10 11

In base 2, 00 = 0, 01 = 1, 10 = 2, and 11 = 3

If you change each of the pairs using this, then your number will be in base 4

10223 base 4