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Using the $CRC$ method, the remainder obtained by dividing $x^9 + x^7 + x^3 + x^1$   by generator polynomial $x^3 + x + 1$ ?

1. $1$
2. $x$
3. $x^2$
4. $1+x + x^2$
edited | 114 views
+1
It should be $1 + x + x^2$.
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i am getting x
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i am getting 1
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@Shubhanshu

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I am getting x^2
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it means all of the options are correct.

Generator $= x^3+x+1$  Data $= x^9+x^7+x^3+x$

$M(x)=x^3(x^9+x^7+x^3+x)=x^{12} +x^{10} +x^6+x^4$

Hence $Option\space D$

selected
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@Satbir corrected