Final answer:
To generate the Hamming code for the given data with even parity, insert parity bits at specific positions based on the powers of 2.
Step-by-step explanation:
The given data is 10011010, and the desired parity is even. To generate the Hamming code, we need to insert parity bits at specific positions in the data. The positions of the parity bits are determined by the powers of 2. Starting from the left, the positions are 1, 2, 4, 8, 16, and so on.
1. Insert the data into the positions that are not powers of 2 (positions 3, 5, 6, 7).
1 0 0 1 1 0 1 0
2. Determine the parity bits by calculating the number of 1s in each group of positions (including the parity bits).
Position 1: 1 0 0 1 => 1 0
Position 2: 0 0 1 0 => 0 1
Position 4: 0 1 1 0 => 1 0
Position 8: 1 0 1 0 => 1 0
3. Insert the parity bits into their respective positions.
1 0 1 0 0 1 1 0 1 0
The generated Hamming code is 1010011010.