Step 1: Understanding the 9's complement.
To compute the 9's complement of a decimal number, subtract each digit from 9.
Step 2: Computing the 9's complement of 782.54.
For the integer part \( 782 \), subtract each digit from 9: - \( 9 - 7 = 2 \) - \( 9 - 8 = 1 \) - \( 9 - 2 = 7 \)
So, the 9's complement of 782 is 217.
For the fractional part \( .54 \), subtract each digit from 9: - \( 9 - 5 = 4 \) - \( 9 - 4 = 5 \)
Thus, the 9's complement of 782.54 is 216.45.
Therefore, the correct answer is (1) 216.54.
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: