JAMB Mathematics 2014 Question 2

Question 2

Number Bases

Find the value of 1101112 + 101002

  1. A.10011112
  2. B.11010112
  3. C.1001012
  4. D.10010112
Show the answer and explanation

Answer: D (10010112)

Explanation

1101112 = 55 and 101002 = 20, so the sum is 75. In base two, 75 = 64 + 8 + 2 + 1 = 10010112.