Mathematics

Convert 2232(_4) to base six

Convert 2232(_4) to base six

  • A.
    4506
  • B.
    2546
  • C.
    5536
  • D.
    5406
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)