Question: Assignment Question : First Question: Find the bitwise OR , bitwise AND ,and bitwise XOR of each of these pairs of bit strings: a) 101

Assignment Question :

First Question:

Find the bitwiseOR, bitwiseAND,and bitwiseXORof each of these pairs of bit strings:

a) 101 1010, 010 0101

b) 1101 1010, 1010 0100

Second Question:

A. Translate the followings system specifications into propositional logic:

1. If the system is operating normally, the database server is connected. 2. The system is in a multiuser state if and only if it is operating normally. 3. The database server is not in maintenance mode. 4. If the database server is not connected, then the system is not in a multiuser state. 5. The database server is in maintenance mode, or the database server is not connected.

B. Determine whether above specifications are consistent or not, and justify why

Third Question

Determine with proper justification whether each of the followings compound propositions is satisfiable and whether it is a tautology, contingency or contradiction

  • ( q (p q)) p
  • ( p (q r)) p

Fourth Question

With the following hypothesis:

  • "All students in this class can write computer programs"
  • "A student in this class didn't study a computer programing course"

Use rules of inference to construct a valid argument for the conclusion:

  • " There's a student who can write computer programs although he didn't study a computer programming course"

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