Change 648 to base four.
A) $32,020 _\text { four }$
B) $22,020 _\text { four }$
C) $22,010 _ { \text {four } }$
D) $21,020_ \text { four }$
E) $22,120 _\text { four }$

Question

Quizplus · Accepted Answer

To convert a number to base four, we need to repeatedly divide the number by four and record the remainders in reverse order.

648 divided by 4 is 162 with a remainder of 0. 
162 divided by 4 is 40 with a remainder of 2. 
40 divided by 4 is 10 with a remainder of 0. 
10 divided by 4 is 2 with a remainder of 2. 
2 divided by 4 is 0 with a remainder of 2.

So the remainders (in reverse order) are 2, 2, 0, 2, 0, which means that 648 base ten is equal to 22,020 base four.

Therefore, the answer is B.

Change 648 to Base Four 32,020 four 32,020 _\text { four }32,020 four ​ B) 22,020 four 22,020 _\text { four }22,020 four ​

Change 648 to Base Four $32,020 _\text { four }$ B) $22,020 _\text { four }$