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WAEC Mathematics 2023 Question 19

Question 19

Number Bases

Arrange the following numbers in ascending order of magnitude; 110two, 31eight, 42five

  1. A.110two, 31eight, 42five
  2. B.110two, 42five, 31eight
  3. C.31eight, 42five, 110two
  4. D.42five, 31eight, 110two
Show the answer and explanation

Answer: B (110two, 42five, 31eight)

Explanation

In base ten: 110two = 6, 42five = 22 and 31eight = 25, so the order is 110two, 42five, 31eight.