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Convert 2232\(_4\) to base six

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Mathematics JAMB 2006

Convert 2232\(_4\) to base six

  • 4506 checkmark
  • 2546
  • 5536
  • 5406

The correct answer is: 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\(_6\)

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