GATE | GATE-IT-2004 | Question 84
Consider a parity check code with three data bits and four parity check bits. Three of the code words are 0101011, 1001101 and 1110001. Which of the following are also code words?
I. 0010111 II. 0110110 III. 1011010 IV. 0111010
(A) I and III
(B) I, II and III
(C) II and IV
(D) I, II, III and IV
a = 0101011
b = 1001101
c = 1110001
XOR of two codewords is itself a codeword.
a XOR c = 1011010
Thus, III is a codeword.
d = 1011010
b XOR d = 0010111
Thus, I is a codeword.
Thus, option (A) is correct.
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