WAEC Mathematics 2022 Question 2

Question 2

Number Bases

Change 432five to a number in base three.

  1. A.10100three
  2. B.11100three
  3. C.11101three
  4. D.10110three
Show the answer and explanation

Answer: B (11100three)

Explanation

432five = 4 × 25 + 3 × 5 + 2 = 117. Dividing by 3 repeatedly gives remainders 0, 0, 1, 1, 1, so 117 = 11100three.