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AMO 2021 - Secondary 2 (Grade 8) Question 18

AMO · AMO 2021 - Secondary 2 (Grade 8)

Question 18

The source describes decimal notation using “ten digits $\{0,1,2,3,4,5,7,8,9\}$” and gives $825=8\times10^2+2\times10+5$. In base three the digits are $\{0,1,2\}$, and $1212_3=1\times3^3+2\times3^2+1\times3+2$. What is the base-three representation of decimal 35? Clarification: the decimal digit list accidentally omits 6. Enter the base-three digit string.

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