UI Post-UTME Mathematics 2016 Question 2

Question 2

Number Bases

3245six = Xnine, find x

  1. A.10
  2. B.739
  3. C.1011
  4. D.160
Show the answer and explanation

Answer: C (1011)

Explanation

3245₆ = 3 × 216 + 2 × 36 + 4 × 6 + 5 = 739; dividing by 9 repeatedly gives remainders 1, 1, 0, 1, so 739 = 1011₉.