# Converting from decimal number to base 3 number system

Discussion in 'Homework Help' started by nyasha, Mar 30, 2009.

1. ### nyasha Thread Starter Active Member

Mar 23, 2009
90
1
Convert the decimal number 128 to base 3 number system.

My attempt to solution:

$\frac{128}{3^4}=1 \text{r} 47$

$\frac{47}{3^3}= 1 \text{r} 20$

$\frac{20}{3^2}=1\text{r}2$

$\frac{2}{3^1}=0\text{r}2$

$\frac{2}{3^0}=2\text{r}0$

$\therefore 128_{10}=11202_{3}$

How come the text book is saying my answer is wrong. The answer in the text book is :

$1122_{3}$

Feb 19, 2009
6,357
718
3. ### nyasha Thread Starter Active Member

Mar 23, 2009
90
1

Thanks for the help