2. Disjunctive and conjuctive normal forms [30 points] a a. You have three propositional variables p, q, and r that have
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2. Disjunctive and conjuctive normal forms [30 points] a a. You have three propositional variables p, q, and r that have
2. Disjunctive and conjuctive normal forms [30 points] a a. You have three propositional variables p, q, and r that have to meet one of two conditions: Either exactly one of them is true or all three are true. Write down a truth table meeting those conditions. b. As discussed in class, using the truth table write down an expression in disjunctive normal form (DNF) that is true when the conditions mentioned above are true. c. Using the truth table, write down an expression in conjunctive normal form (CNF) that is true when the conditions mentioned above are true.
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