2-D bit parity is generated by placing the data bits in a matrix form as shown...

2-D bit parity is generated by placing the data bits in a matrix form as shown below. Then, a parity bit is computed for every row and every column: These parity bits are shown in grey. Assume that even parity is used (as shown below). Assume throughout that the receiver is guaranteed that no more than 2 errors are possible.

1 0 1 0 1 1

1 1 1 1 0 0

0 1 1 1 0 1

0 0 1 0 1 0

(a) Show that any 2-bit errors in data can be detected.

(b) What type of bit errors can go undetected? Explain with an example. (Hint: Think beyond 2 bit errors)

(c) What happens when a parity bit is erroneous? Flip the parity bit corresponding to the third row and explain what will happen.

Solutions

Expert Solution

The given codeword is

1 0 1 0 1 1

1 1 1 1 0 0

0 1 1 1 0 1

0 0 1 0 1 0

Answer:

a) Please find the image below for detailed answer.

b) Bit errors like burst error or errors more than 2 bits error remains undetected.

Please find the image below for detailed answer of b) and c).

venereology answered 1 month ago

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