$1)$ Using Hamming Error Correction Code $($ECC$),$ determine if the binary value $01111010$ is corrupted when using even parity. Has an error occurred? If so$,$ which type, Single correction or Single correction with Double Detection? Can we determine which bit is corrupted? Determine the corrupted bit or explain why not. Show your work.

$2)$Using Hamming Error Correction Code $($ECC$),$ determine if the binary value $11010111$ is corrupted when using even parity. Has an error occurred? If so$,$ which type, Single correction or Single correction with Double Detection? Can we determine which bit is corrupted? Determine the corrupted bit or explain why not. Show your work