Convert 2232\(_4\) to base six
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Correct Answer: Option A
Explanation:
1st convert to base 10
2232\(_4\) = 2 x 4\(^3\) + 2 x 4\(^2\) + 3 x 4\(^1\) + 2 x 4\(^0\)
= 2 x 64 + 2 x 16 + 3 x 4 + 2 x 1
= 128 + 32 + 12 + 2
= 174 convert to base 6
6/174
6/29 R 0
6/4 R 5
6/0 R 4
= 450\(_6\)
1st convert to base 10
2232\(_4\) = 2 x 4\(^3\) + 2 x 4\(^2\) + 3 x 4\(^1\) + 2 x 4\(^0\)
= 2 x 64 + 2 x 16 + 3 x 4 + 2 x 1
= 128 + 32 + 12 + 2
= 174 convert to base 6
6/174
6/29 R 0
6/4 R 5
6/0 R 4
= 450\(_6\)