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The reference polynomial used in a CRC scheme is x4 + x3 + 1. A data sequence 1010101010 is to be sent, Determine the actual bit string that is transmitted.
- a)10101010100011
- b)10101010101110
- c)10101010100110
- d)10101010100010
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The reference polynomial used in a CRC scheme is x4 + x3 + 1. A data s...
Reference polynomial x4 + r3 + 1 =11001
Datasequence = 1010101010
On dividing 1010101010 by 11001,
We get CRC (i.e. remainder) = 0010
On appending this CRC on data sequence, we get the actual message transmitted i.e. 10101010100010.
Datasequence = 1010101010
On dividing 1010101010 by 11001,
We get CRC (i.e. remainder) = 0010
On appending this CRC on data sequence, we get the actual message transmitted i.e. 10101010100010.
Most Upvoted Answer
The reference polynomial used in a CRC scheme is x4 + x3 + 1. A data s...
Given: reference polynomial x^4 + x^3 + 1, data sequence 1010101010
Steps to calculate actual bit string:
1. Append 4 zeros to the data sequence: 10101010100000
2. Divide the extended data sequence by the reference polynomial using modulo-2 division:
- First, perform XOR operation between the first 5 bits (10101) and the reference polynomial (x^4 + x^3 + 1) to get the remainder 00110. This is the first 5 bits of the actual bit string.
- Next, append the next bit from the data sequence (0) to the remainder (00110) to get 001100. Perform XOR operation between 001100 and the reference polynomial to get the new remainder 000010. This is the next bit of the actual bit string.
- Repeat the above step for all the remaining bits of the data sequence.
3. The final remainder obtained after dividing the extended data sequence is appended to the original data sequence to get the actual bit string.
Therefore, the actual bit string transmitted is 10101010100010.
Steps to calculate actual bit string:
1. Append 4 zeros to the data sequence: 10101010100000
2. Divide the extended data sequence by the reference polynomial using modulo-2 division:
- First, perform XOR operation between the first 5 bits (10101) and the reference polynomial (x^4 + x^3 + 1) to get the remainder 00110. This is the first 5 bits of the actual bit string.
- Next, append the next bit from the data sequence (0) to the remainder (00110) to get 001100. Perform XOR operation between 001100 and the reference polynomial to get the new remainder 000010. This is the next bit of the actual bit string.
- Repeat the above step for all the remaining bits of the data sequence.
3. The final remainder obtained after dividing the extended data sequence is appended to the original data sequence to get the actual bit string.
Therefore, the actual bit string transmitted is 10101010100010.
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The reference polynomial used in a CRC scheme is x4 + x3 + 1. A data sequence 1010101010 is to be sent, Determine the actual bit string that is transmitted.a)10101010100011b)10101010101110c)10101010100110d)10101010100010Correct answer is option 'D'. Can you explain this answer?
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