Question

Let G(x) = x5 + x4 + x2 + 1 be the polynomial generator(pattern), T = 101000110101110 be the message received by the destination node. Would the receiver accept the message? Why?

Answer 1

Given polynomial is

$G(x) = x^5 +x^4+x^2+1$

Message from the destination node$(T)=101000110101110$

The Divisor polynomial bit $=1\times x^5 +1\times x^4+0\times x^3+1\times x^2+0\times x+1\times1$

$=110101$

Bits to be appended to the message = (Divisor polynomial bits -1)$=6-1= 5$

Now, append 5 zero to the message bit, hence$=10100011010111000000$

$10100011010111000000/110101$ Remainder =0000

Hence, CRC = 0000

Hence, we will not append any digit in the original message

So, the receiver will receive 101000110101110

Because there is not any error in the code, code is correct.