Two positive integers each have a units digit of 2 when expressed in base 4.  Find the units digit of their product when expressed in base 4.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Two positive integers each have a units digit of 2 when expressed in base 4.  Find the units digit of their product when expressed in base 4.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
0
Two positive integers each have a units digit of 2 when expressed in base 4.  Find the units digit of their product when expressed in base 4.
train