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------------------------------------------------ A 12-bit Hamming code word contains 8 bits of data and 4 parity bits. This code word is read from memory.

What was the original 8-bit data word written into memory if the 12-bit word read out is 111011011001?

(Show the procedure.)

The Hamming code is a type of error-correcting code that is used to correct the errors that occurred during https://brainly.com/question/1081834transmission

The Hamming code works by adding additional parity bits to the original data bits. These additional parity bits are used to check for errors and to correct them.

The value of the parity bit at position 1 is calculated by adding the values of the data bits at positions 3, 5, 7, 9, 11, and 12.

The value of the parity bit at position 2 is calculated by adding the values of the data bits at positions 3, 6, 7, 10, 11, and 12. The value of the parity bit at position 4 is calculated by adding the values of the data bits at positions 5, 6, 7, and 12. The value of the parity bit at position 8 is calculated by adding the values of the data bits at positions 9, 10, 11, and 12.

However, if the calculated values of the parity bits do not match the values of the parity bits in the received message, then there is an error. The decoder then uses the position of the incorrect parity bit to correct the error. In this case, there are no errors in the received message.Step 4: Extract the original data bits. To extract the original data bits, the decoder discards the parity bits and retains only the data bits. In this case, the original 8-bit data word is 11011001.

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