Question

Given a generator polynomial g(x) = x^3 + x + 1. Consider the information sequence 1001. By CRC method, what is the resulted codeword for transmission

Answer 1

Here is the answer below

Answer 2

Answer:

The resulted codeword for transmission is $\bold{1001110}$

Explanation:

Given an information polynomial code is $g(x)=x^3+x+1$

Also, given that the information sequence is $1001$

Now we rewrite the polynomial code as $1.x^3+0.x^2+1.x+1.x^0$

Since polynomial is of order $3$

So, we add three zeros in the polynomial.

Therefore, the new polynomial code is $1011000$

Hence the resultant codeword for transmission is $\bold{1001110}$.