WAEC Mathematics 2019 Objective — Question 8
Question 8 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.
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8. If 23ᵧ = 1111₁ₑₑₐ⁴ᵀḡⱼₑₐₔᵤ (base two), find the value of y.
- A. 4
- B. 5
- C. 6Correct
- D. 7
Explanation
Converting 1111₂ to base 10: 1×2³+1×2²+1×2¹+1×2⁰ = 8+4+2+1=15. So 2y+3=15 ⇒ 2y=12 ⇒ y=6.
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