Question
Let m = (313) 4and n = (322) 4. Find the base 4 expansion of m + n.
The correct answer is
(1301) 4
Step 1 – convert and add:
\((313)_4=55,\qquad(322)_4=58,\qquad55+58=113.\)
Step 2 – express the sum in base 4:
\(113=1\cdot4^3+3\cdot4^2+0\cdot4+1=(1301)_4.\)
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