Now consider a RAID $6$ storage system with four data disks, and two redundant disks. For simplicity, we again assume that each disk stores only a single byte. As mentioned in the class, for RAID $6,$ we cannot simply keep an XOR of a set of data bytes. In this question, you see why. Suppose that the data disks contain bytes B$1,$ B$2,$ B$3$ and B$4.$ In the first redundant disk, we store B$1$ B$2$ B$3,$ and in the second redundant disk we store B$2$ B$3$ B$4.($a$)$ Suppose the contents of data disks one and four $($i$.$e$.,$ B$1$ and B$4)$ are lost. Assume that the content of the first and second redundant disks in hexadecimal are $0$x$1$A and $0$x$32,$ respectively. Also the contents of the second and third data disks in hexadecimal are B$2=0$xAB, B$3=0$x$91.$ Can we restore B$1$ and$/$or B$4?$ If so$,$ what are the values of B$1$ and$/$or B$4$ in hexadecimal? $($b$)$ Now suppose the contents of data disks two and three $($i$.$e$.,$ B$2$ and B$3)$ are lost. Assume that B$1=0$x$27$ and B$4=0$x$12,$ and the contents of redundant disks are $0$xBC and $0$x$89,$ respectively. Can we restore B$2$ and$/$or B$3?$ If so$,$ what are the values of B$2$ and$/$or B$3$ in hexadecimal?