Answer:

Explanation:

11011001 ⊕ 10011101 = 01000100. Since, this contains two 1s, the Hamming distance, d(11011001, 10011101) = 2.

To detect and correct the error using the even parity Hamming code, we can follow these steps:

Calculate the parity bits for the received code:

For the received code 110001101, the parity bits would be calculated as follows:

Parity bit P1 covers bits 1, 3, 5, 7, and 9:

The value of P1 is the parity of these bits, which is 1.

Parity bit P2 covers bits 2, 3, 6, 7, and 10:

The value of P2 is the parity of these bits, which is 0.

Parity bit P4 covers bits 4, 5, 6, 7, and 11:

The value of P4 is the parity of these bits, which is 0.

Compare the calculated parity bits to the parity bits in the received code:

We can compare the calculated parity bits to the parity bits in the received code to see if there are any discrepancies. In this case, the calculated parity bits are 1 0 0 and the parity bits in the received code are 1 0 1. There is a discrepancy in the third parity bit, which indicates that an error has occurred in the received code.

Determine the position of the error:

• To determine the position of the error, we can use the parity bit positions that have a discrepancy as an index to form a binary number.
• In this case, the position of the error is 100, which is the binary representation of the number 4. This means that the error occurred in the fourth position of the received code.

Correct the error:

To correct the error, we can simply flip the value of the bit at the fourth position of the received code. The corrected code would be 111000101, which has the correct parity bits and matches the original transmitted code 111001101.

To learn more about parity Hamming code from the given link.

https://brainly.in/question/52070427

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