JAMB Mathematics 1987 Question 1

Question 1

Number Bases

Convert 241 in base 5 to base 8

  1. A.718
  2. B.1078
  3. C.1768
  4. D.2418
Show the answer and explanation

Answer: B (1078)

Explanation

2415 = 2×25 + 4×5 + 1 = 71 in base 10. Dividing 71 by 8 gives 8 remainder 7, then 1 remainder 0, then 0 remainder 1, so it is 1078.