Q$1.$ For data transmission from a client to a server, find the cipher text with XOR operation at the Client and plain text at the Server. It must show the step$-$by$-$step calculation. $(30$ points$)$

Plain text: $0101110101111011$

Encryption$/$Decryption key: $1000110101010111$

a$.$ Find the cipher text at the Client $($show the calculation process$)$

b$.$ Find the decrypted plain text at the Server $($show the calculation process$)$