A communication system is transmitting a $4-$bit data sequence $1011$ using a

Hamming $(7,4)$ code for error detection and correction. The received $7-$bit

sequence is $1110010,$ which includes the $4$ data bits and $3$ parity bits.

$1.2.3.$ Identify whether an error has occurred in the received sequence using

Hamming code.

If an error is detected, determine the position of the error.

Correct the error and provide the corrected $7-$bit code and the original $4-$

bit data sequence.