Convert the number to the indicated base.
-$7815 _\text { nine }$ to base three
A) $1001251112 _ { \text {three } }$
B) $21121002 _ { \text {three } }$
C) $21221012 _ { \text {three } }$
D) $11211011 _ { \text {three } }$

Question

Convert the number to the indicated base.
-$7815 _\text { nine }$ to base three
A)  $1001251112 _ { \text {three } }$
B)  $21121002 _ { \text {three } }$
C)  $21221012 _ { \text {three } }$
D) $11211011 _ { \text {three } }$

Quizplus · Accepted Answer

First, convert 7815 from base nine to base ten: $7 \times 9^3 + 8 \times 9^2 + 1 \times 9^1 + 5 \times 9^0 = 5103$. Then, convert 5103 from base ten to base three: $5103 \div 3 = 1701$ remainder 0, $1701 \div 3 = 567$ remainder 0, $567 \div 3 = 189$ remainder 0, $189 \div 3 = 63$ remainder 0, $63 \div 3 = 21$ remainder 0, $21 \div 3 = 7$ remainder 0, $7 \div 3 = 2$ remainder 1, $2 \div 3 = 0$ remainder 2. Reading the remainders from last to first gives $21221012$.

Convert the Number to the Indicated Base 7815 nine 7815 _\text { nine }7815 nine ​

Convert the Number to the Indicated Base $7815 _\text { nine }$