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}
     
  2. thatoneguy

    AAC Fanatic!

    Feb 19, 2009
    6,357
    718
  3. nyasha

    Thread Starter Active Member

    Mar 23, 2009
    90
    1

    Thanks for the help
     
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