Exercise $6(2$ points$)$

Alice and Bob use the one$-$time pad cipher in the binary form: all plaintexts, ciphertexts, and keys are

strings of bits. Alice needs to encrypt two plaintext strings $M_1$ and $M_2$ that both consist of $10$ bits. She

encrypts them using the same key. The resulting ciphertext strings are

$C_1=0100110100$

$C_2=1110010000$

Answer the following questions and briefly explain your answers:

Do the plaintext strings $M_1$ and $M_2$ begin with the same bit?

Do the plaintext strings $M_1$ and $M_2$ end with the same bit?