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(1 point) Consider the hex strings A=0x 148c0a30ac5cbc83 and B=0x773653ca8f06660a. a) What is A B in hexadecimal? Please give your answer a leading Ox and

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(1 point) Consider the hex strings A=0x 148c0a30ac5cbc83 and B=0x773653ca8f06660a. a) What is A B in hexadecimal? Please give your answer a leading Ox and use lowercase letters only. hexadecimal: : b) Suppose that A was generated uniformly at random from all 8 byte strings. What is the probability that the second binary digit of A is 1? c) Suppose that A was generated uniformly at random from all 8 byte strings. What is the probability that the second binary digit of A B is 1? (1 point) A cryptography student has accidentally used the same keystream to encrypt two different messages, M1 and M2. We know that the ciphertexts are C1 = 0x0ac83f62826db967 and C2 = 0x36c4a5e29e f3d08c. We also happen to know that M = 0xc8d3520cd87b962 f. a) What is M2 in hexadecimal? Please give your answer a leading Ox and use lowercase letters only. b) What is the keystream? Please give your answer a leading Ox and use lowercase letters only. Hint: These are all 8 byte numbers and will fit in an unsigned long type on most systems. (1 point) Suppose you have an LFSR with state bits (also known as the seed) (S5, S4, S3, S2,S1, 50) = (0,0, 1, 0, 1,0) and tap bits (also known as feedback coefficients) (P5, P4, P3, P2, P1, Po) = (0,1, 1, 1,0,1). What are the first 12 bits output by this LFSR? Please enter your answer in the form of unspaced binary digits (e.g. 010101010101). These come in order so S1 S2 ... S11. (1 point) Consider the hex strings A=0x 148c0a30ac5cbc83 and B=0x773653ca8f06660a. a) What is A B in hexadecimal? Please give your answer a leading Ox and use lowercase letters only. hexadecimal: : b) Suppose that A was generated uniformly at random from all 8 byte strings. What is the probability that the second binary digit of A is 1? c) Suppose that A was generated uniformly at random from all 8 byte strings. What is the probability that the second binary digit of A B is 1? (1 point) A cryptography student has accidentally used the same keystream to encrypt two different messages, M1 and M2. We know that the ciphertexts are C1 = 0x0ac83f62826db967 and C2 = 0x36c4a5e29e f3d08c. We also happen to know that M = 0xc8d3520cd87b962 f. a) What is M2 in hexadecimal? Please give your answer a leading Ox and use lowercase letters only. b) What is the keystream? Please give your answer a leading Ox and use lowercase letters only. Hint: These are all 8 byte numbers and will fit in an unsigned long type on most systems. (1 point) Suppose you have an LFSR with state bits (also known as the seed) (S5, S4, S3, S2,S1, 50) = (0,0, 1, 0, 1,0) and tap bits (also known as feedback coefficients) (P5, P4, P3, P2, P1, Po) = (0,1, 1, 1,0,1). What are the first 12 bits output by this LFSR? Please enter your answer in the form of unspaced binary digits (e.g. 010101010101). These come in order so S1 S2 ... S11

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