Question: The five-variable propositional formula P ::= = (^D ) V () is in Disjunctive Normal Form with two AND-of-literal clauses. (a) (5 points) Find

The five-variable propositional formula P ::= = (^D ) V () is 

The five-variable propositional formula P ::= = (^D ) V () is in Disjunctive Normal Form with two "AND-of-literal" clauses. (a) (5 points) Find a full Disjunctive Normal Form that is equivalent to P, and explain your reasoning. Hint: Can you narrow in on the important parts of the truth table without writing all of it? Alternatively, can you avoid the truth table altogether? (b) (5 points) Let C be a full Conjunctive Normal Form that is equivalent to P. Assume that C has been simplified so that none of its "OR-of-literals" clauses are equivalent to each other. How many clauses are there in C? Please don't try to write out any of these clauses. Briefly explain your answer.

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