Step 1: Understanding Caesar Cipher.
In a Caesar Cipher, each letter of the plaintext is shifted by a certain number of positions in the alphabet. Since there are 26 letters in the English alphabet, there are 26 possible keys, one for each possible shift.
Step 2: Analysis of options.
- (A) 25: Incorrect, as there are 26 possible keys (shifts).
- (B) 26: Correct, there are 26 possible shifts for the Caesar Cipher.
- (C) $2^{25}$: Incorrect, this is an incorrect number of keys for a Caesar Cipher.
- (D) $2^{26}$: Incorrect, this is another incorrect number of keys.
Step 3: Conclusion.
The correct answer is (B) 26.
Find the least upper bound and greatest lower bound of \( S = \{X, Y, Z\} \) if they exist, of the poset whose Hasse diagram is shown below:
Suppose \( D_1 = (S_1, \Sigma, q_1, F_1, \delta_1) \) and \( D_2 = (S_2, \Sigma, q_2, F_2, \delta_2) \) are finite automata accepting languages \( L_1 \) and \( L_2 \), respectively. Then, which of the following languages will also be accepted by the finite automata:
(A) \( L_1 \cup L_2 \)
(B) \( L_1 \cap L_2 \)
(C) \( L_1 - L_2 \)
(D) \( L_2 - L_1 \)
Choose the correct answer from the options given below: