JAMB Mathematics 2012 Question 2

Question 2

Number Bases

Convert 726 to a number in base three.

  1. A.2211
  2. B.2121
  3. C.1212
  4. D.1122
Show the answer and explanation

Answer: D (1122)

Explanation

726 = 7 × 6 + 2 = 44. Dividing 44 repeatedly by 3 gives remainders 2, 2, 1, 1, so 44 = 11223.