bit number is encoded and transmitted with check bits 1110 T

bit number is encoded and transmitted with check bits 1110. The received data is 0111_1101_1110. Determine if the data transmitted has any error. If yes, determine which bit is corrupted.

Solution

Yes, it seems that there is an error. Since the question does not say how many bits, how is it encoded or how are the check bits computed, it looks very much that two 4 bit numbers are sent, and the check bits are the \'XOR\' of the individual bits of data to be sent.

Two 4 bit numbers 0 1 1 1

1 1 0 1

Check (XOR):1 0 1 0 ,

Since check bit is 1110, it seems that the second bit from right is incorrect in either of the two 4 bit numbers. Again, it is not exactly clear how the data is encoded with check bits, but seems like it.