Show (give an example other than the one in Figure 6.5) that two-dimensional parity checks can correct and detect a single bit error. Show (give an example of) a double-bit error that can be detected but not corrected.

Figure 6.5

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Row parity d1, j-1 d1,j d1,1 d2.j-1 d2.i d2,1 dije1 "p dije1 d;,1 d;+1,j di1,1 Correctable No errors single-bit error 10 10 11 1 10 10 1 Parity 101100 1 1 1 10 0 error 0 1 1 101 0 1 1 10 1 0 0 1 0 1 0 0 0 1 0 10 Parity error Column parity