Question: Suppose that a truth table in n propositional variables is specified. Show that a compound proposition with this truth table can be formed by taking

Suppose that a truth table in n propositional variables is specified. Show that a compound proposition with this truth table can be formed by taking the disjunction of conjunctions of the variables or their negations, with one conjunction included for each combination of values for which the compound proposition is true. The resulting compound proposition is said to be in disjunctive normal form.

A collection of logical operators is called functionally complete if every compound proposition is logically equivalent to a compound proposition involving only these logical operators. If someone could walk me through this step by step that would be great. Thank you!

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