Convert 425 to base three numeral

Assessment: WAEC SSCE - General Mathematics - 2007 (Objective) Subject: General Mathematics

Question 1 Report

Convert 425 to base three numeral
Answer Details
To convert a number from base 5 to base 3, we need to first convert it to base 10, and then convert it to base 3. 425 can be written as: $42_{5} = 4\cdot5^{1} + 2\cdot5^{0} = 20 + 2 = 22_{10}$ Now we convert 2210 to base 3. We can do this by repeatedly dividing 22 by 3 and taking the remainders, until the quotient is zero. The remainders, read from bottom to top, give us the base 3 numeral. \begin{array}{c|c} \text{Dividend} & \text{Remainder}\\ \hline 22 & 1 \\ 7 & 2 \\ 2 & 2 \\ 0 & \\ \end{array} So, 2210 is equal to 2123. Therefore, the correct option is (3) 2113.
Read lesson note on Number Bases (WAEC)
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