Let m = (313)₄ and n = (322)₄. Find the base 4 expansion of m + n

First, add the rightmost digits in base 4: 3 + 2 equals 5. Since 5 is greater than the base, write down 1 and carry over 1 to the next column. Next, add the middle digits plus the carry: 1 + 2 + 1 equals 4. Write down 0 and carry over 1 again. Finally, add the leftmost digits plus the carry: 3 + 3 + 1 equals 7. Write down 3 and carry over 1 to the front, resulting in (1301)₄.