It is necessary to formulate the Hamming code for four data bits, D3, D5, D6, and D7, together with three parity bits, P1, P2, and P4.
(a) Evaluate the 7-bit composite code word for the data word 0010.
(b) Evaluate three check bits, C4, C2, and C1, assuming no error.
(c) Assume an error in bit D5 during writing into memory. Show how the error in the bit is detected and corrected.
(d) Add parity bit P8 to include double-error detection in the code. Assume that errors occurred in bits P2 and D5. Show how the double error is detected.
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