Convert the number to the indicated base.
-$53 _ { \text {six } }$ to base three
A) $111 _ { \text {three } }$
B) $100 _ { \text {three } }$
C) $1020 _ { \text {three } }$
D) $1120 _ { \text {three } }$

Question

Quizplus · Accepted Answer

First, convert $53_{six}$ to base ten. Since $53_{six}$ means $5 \times 6^1 + 3 \times 6^0 = 30 + 3 = 33_{ten}$. Then, convert $33_{ten}$ to base three. $33_{ten} = 3^3 + 2 \times 3^2 + 0 \times 3^1 + 0 \times 3^0 = 1020_{three}$.

Convert the Number to the Indicated Base 53six 53 _ { \text {six } }53six ​

Convert the Number to the Indicated Base $53 _ { \text {six } }$