$4\mathrm{.}2$ Section $5\mathrm{.}5$ states that modern server memory modules $($DIMMs$)$ employ SEC$/$DED ECC to protect each $64$ bits with $8$ parity bits. Compute the cost$/$ performance ratio of this error correction code to the code from Q$4\mathrm{.}1.$ In this case, cost is the relative number of parity bits needed while performance is the relative number of errors that can be corrected. Which is better?$($Hint:$$ How many bits of overhead $($non$-$data$)$ and needed to protect the same amount of data.$)$