Nov2017 cs Q2
0. Let m=(313)4 and n=(322)4. Find the base 4 expansion of m+n.
- Option : D
- Explanation : We have m=(313)4 and n=(322)4
convert m and n into decimal: m = 3*42 + 1*41 + 3*40 m = 48 + 4 + 3 m = 55.
Now n=3*42 + 2*41 +2*40 n = 48 + 8 +2 n = 58. m + n = 55 + 58 m + n = 113
Now we have to convert 113 in to base 4: ie step 1-113 % 4 = 1 113 / 4 = 28 step 2- 28 % 4 = 0 28 / 4 = 7 step 3- 7 % 4 = 3 7 / 4 = 1 step 4- 1 % 4 = 1 1 / 4 --> will not divide it in quant.
So we have to stop here. The answer will be Residue from step 4 to step 1 inorder ie 1301 Ans-(1301)4
