JAMB Mathematics 2006 Question 26

Question 26

Number Bases

Convert 22324 to a number in base six.

  1. A.4506
  2. B.2546
  3. C.5536
  4. D.5406
Show the answer and explanation

Answer: A (4506)

Explanation

22324 = 128 + 32 + 12 + 2 = 174. Dividing by 6 repeatedly: 174 = 4 × 36 + 5 × 6 + 0, so 4506.