Sender’s data D=11010, CRC generator polynomial= x 3 +x+1. ApplyCRC algorithm and perform calculations both at sender and receiverend

Sure, let's apply the Cyclic Redundancy Check (CRC) algorithm to the sender's data D=11010 with the generator polynomial G(x) = x^3 + x + 1.

Step 1: Appending zeros First, we need to append the degree of the generator polynomial (which is 3 in this case) number of zeros to the sender's data. So, D becomes 11010 000.

Step 2: Division Next, we perform binary division on the appended data with the generator polynomial. The generator polynomial in binary is 1011.

11010 000 / 1011 = 1001 remainder 110

Step 3: Creating the codeword The remainder from the division is the CRC, which is appended to the end of the original data to create the codeword. So, the codeword that is transmitted is 11010 110.

At the receiver end:

Step 1: Division The received codeword is divided by the same generator polynomial.

11010 110 / 1011 = 1001 remainder 0

Step 2: Checking the remainder If the remainder is 0, then there are no errors in the data. If the remainder is not 0, then there are errors.

In this case, the remainder is 0, so the data is error-free.