JAMB Mathematics 2021 Objective — Question 23

Question 23 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

23. Convert 71ᵗᵉⁿ to a number in base 8 (a) 17₈ (b) 107₈ (c) 106₈ (d) 71₈

A. 17₈
B. 107₈Correct
C. 106₈
D. 71₈

Explanation

Dividing 71 repeatedly by 8: 71 ÷ 8 = 8 remainder 7; 8 ÷ 8 = 1 remainder 0; 1 ÷ 8 = 0 remainder 1. Reading remainders bottom-up: 71₁₀ = 107₈.

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