Question

Develop a graph of the number of parity bits needed for the range of data (non-parity) bits from 4 to 67 . This will be a non-linear step graph. Make sure to label your steps. Start by identifying the pattern, but do not ask TAs for the formula. HINT: You know that the first 3 parity bits are located at positions 1, 2, and 4. If you continue adding data bits, the fourth parity bit will lie at position 8. What does this tell you?

Answer 1

To determine the number of parity bits needed for the range of data bits from 4 to 67, we can identify a pattern where the number of parity bits increases by 1 every time the position is a power of 2.

Step-by-step explanation:

To determine the number of parity bits needed for the range of data bits from 4 to 67, we can identify a pattern based on the hint given. The first 3 parity bits are located at positions 1, 2, and 4. If we continue adding data bits, the fourth parity bit will lie at position 8. From this, we can see that the number of parity bits increases by 1 every time the position is a power of 2.

Therefore, for the range of data bits from 4 to 67, we can create a non-linear step graph where the number of parity bits increases at positions that are powers of 2. The steps would be labeled with the range of data bits and the corresponding number of parity bits needed. For example:

Data bits 4-7: 3 parity bits

Data bits 8-15: 4 parity bits

Data bits 16-31: 5 parity bits

And so on.