Problem $5$: The information bits for transfer are $11000110.$ Four Hamming partybits are to be added.$($i$)$ Determine the composite signal sent including the Hamming parity bits$($i$)$ If the sequence $111110010110$ is received, identify the bit position in error USING systematic procedure$($ii$)$ if the sequence $111100001110$ is received, identify the bit position in error USING systematic procedure$($iv$)$ Add parity bit P$13$ to include double error detection in the code. Determine the composite signal sent.$($v$)$ Assume the following sequence is received: $1011001110100.$ Indicate the conclusion arrived at$.$