Answer Happy

Assuming the Hamming code (n, k) = (7, 4) with the parity-check matrix H = [1011100 1101010 1110001] Determine the single error and corrected codeword from the received block: Z=1010111 The error-pattern/syndrome table is shown below. syndrome $1,S2,S3 000 111 011 101 110 0000100 100 0000010 010 0000001 001 error pattern e1 e2 e3 e4 e5 e6 e7 0000000 1000000 01 00000 0010000 000 1000
The error-pattern/syndrome table is shown below. error pattern syndrome e1 e2 e3 e4 e5 e6 e7 s1,s2,s3 ooooooo 000 111 100 oooo 0 1 0 0 ooo 0 0 10000 000 1000 0000 1 0 0 00000 10 0000001 Select one: ○ a. Ob. Oc. Od. e. 011 101 110 100 010 001 e=0001000; c=1011111 e=0000010 ; c=1010101 e=1000000 ; c=1000111 e=0000010 ; c=1010011 e=0010000 ; c=1000111