GATE Electronics and Communications (EC) 2019 Solved Paper

Question : 31 of 65

Marks: +1, -0

A linear Hamming code is used to map 4bit messages to 7 -bit codewords. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111 , and the message 0011 is mapped to the codeword 100110, then the message 0010 is mapped to

1111000
0010011
1111111
1100001

Validate

Solution:

As it is given that it is linear hamming code addition of two codes will produce another code.
(Here we are talking about mod 2 addition)

0001 → 0000111

0011 → 1100110

─── ──────

0010 → 1100001

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