WAEC 2022 · Paper 1 · Q2

Change $432_{\text{five}}$ to a number in base three.

Worked solution (try it first)

Change to base ten: $432_{\text{five}} = 4 \times 25 + 3 \times 5 + 2$
$= 117$ .
Divide by 3 repeatedly: $117 = 3 \times 39 + 0$ , $39 = 3 \times 13 + 0$ , $13 = 3 \times 4 + 1$ , $4 = 3 \times 1 + 1$ , and $1 = 3 \times 0 + 1$ .
Read the remainders from the bottom up: $11100_{\text{three}}$ , option B.