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GATE | GATE CS 2021 | Set 2 | Question 44

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  • Last Updated : 23 May, 2021

Consider the cyclic redundancy check (CRC) based error detecting scheme having the generator polynomial X3+X+1. Suppose the message m4m3m2m1m0 = 11000 is to be transmitted. Check bits c2c1c0 are appended at the end of the message by the transmitter using the above CRC scheme. The transmitted bit string is denoted by m4m3m2m1m0c2c1c0. The value of the checkbit sequence c2c1c0 is
(A) 101
(B) 110
(C) 100
(D) 111


Answer: (C)

Explanation: X3+X+1 can be written as 1011, so we will append three 0’s at the end of the message.

The value of the checkbit sequence c2c1c0 is 100.

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