GATE EC 2024 Set 1 — Question 47
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Communications → Error Control Coding → Parity Checks & CRC
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Question
The information bit sequence is to be transmitted by encoding with Cyclic Redundancy Check 4 (CRC-4) code, for which the generator polynomial is . The encoded sequence of bits is ________.
Correct answer
(A) \1 1 1 0 1 0 1 0 1 1 1 0 0\
Solution
1.Message bits: . Generator polynomial corresponds to the bit string .
2.Append zeros to the message: .
3.Perform modulo-2 division (XOR) of the appended message by the generator:
4.The encoded sequence is Message + Remainder: .
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