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A CRC scheme uses a reference polynomial x4 + x3 + 1 for its operations. The machine sends instructions in the form of data sequence 1010101010. Choose the bit strength which is actually transmitted.
  • a)
    10101010100010 
  • b)
    10101010100110
  • c)
    10101010101110
  • d)
    10101010100011
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A CRC scheme uses a reference polynomial x4 + x3 + 1 for its operation...
Reference polynomial x4 + x3 + 1 = 1. x4+ 1 . x3+ 0 . x2 + 0 . x + 1 = 11001
Data sequence = 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.
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Community Answer
A CRC scheme uses a reference polynomial x4 + x3 + 1 for its operation...


Explanation:

Given Information:
- CRC scheme uses a reference polynomial x^4 + x^3 + 1
- Data sequence: 1010101010

Calculating CRC:
1. Append 4 zeroes at the end of the data sequence (since the reference polynomial is of degree 4).
- Data sequence becomes: 10101010100000
2. Perform CRC division using the reference polynomial x^4 + x^3 + 1.
3. The remainder obtained after the division is the CRC value.
- In this case, the CRC value is 0010.

Transmitted Data:
- Append the calculated CRC value to the original data sequence.
- Transmitted data: 10101010100010

Therefore, the correct answer is option A (10101010100010), which represents the data sequence along with the calculated CRC value.
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