JAMB Mathematics 1983 Question 21

Question 21

Indices

Find x if (xbase 4)2 = 100100base 2

  1. A.6
  2. B.12
  3. C.100
  4. D.210
  5. E.10°42'
Show the answer and explanation

Answer: B (12)

Explanation

100100₂ = 32 + 4 = 36, so x = 6 in base ten. In base 4, 6 = 1 × 4 + 2 = 12.