Question

Generate the HC for the data 01001011

a. using even parity check
b. receiver receives 010111010110 bits of HC. Check if this is correct using an even parity check.

Answer 1

To generate the Hamming Code with even parity, insert parity bits at powers of 2 and data bits in remaining positions. To check for correctness, count the '1' bits and determine if the count is even or odd.

Step-by-step explanation:

In order to generate the Hamming Code (HC) with even parity for the given data 01001011a, we need to insert the parity bits at the positions of powers of 2. The data bits are inserted in the remaining positions. The resulting HC would be 0010010101101110.

To check if the received bits 010111010110 are correct using an even parity check, we count the number of '1' bits. If the count is even, then the received bits are correct. If the count is odd, then there is an error in the received bits.

In this case, the count of '1' bits in 010111010110 is 8, which is even. Therefore, the received bits are correct.