polynomial

hi
i have question with its solution from book Communication Networks ? but i couldn't understanding it ?

Q: Let g1(x) = x + 1 and let g2(x) = x3 + x2 + 1. Consider the information bits (1,1,0,1,1,0).
a.Find the codeword corresponding to these information bits if g1(x) is used as the generating polynomial.
Solution:
        |   100100
-------------------------
11      |  1101100
           11
           0011
                11
            0000

Code word = 1101100

if i giving generating polynomial. how i can find code word ?
in the above example why we use 11 and the quotient is 100100

thanks

regards
ang3lusAsked:
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ozoCommented:
> why we use 11
because  g1(x) = x + 1
> the quotient is 100100
because (x + 1)  * (x^5+x^2) = (x^6+x^5+x^3+x^2)
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TommySzalapskiCommented:
You understand that x + 1 is expressed as 11 and 1101100 = x^6+x^5+x^3+x^2 right?
The rest is just a lot like algebra.
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ang3lusAuthor Commented:
thanks i understand it
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