Problem $4$: The information bits for transfer are $11000110.$ Four Hamming parity bits are to be added.$($i$)$ Determine the composite signal sent including the parity bits$($ii$)$ If the sequence $110110010010$ is received, identify the bit position in error USINGsystematic procedure$($iii$)$ If the sequence $111000001111$ is received, identify the bit position in error USINGsystematic procedure$($iv$)$ Add parity bit P$13$ to include double error detection in the code. State the conclusion ifthe following sequence is received: $1111000000100$