Question: A new operator, , or exclusive-or, may be defined by the following truth table: Create a propositional calculus expression using only , , and

A new operator, ⊕, or exclusive-or, may be defined by the following truth table:

P T T F F Q T F T F POQ F T T F

Create a propositional calculus expression using only ∧, ∨, and ¬ that is equivalent to P ⊕ Q. Prove their equivalence using truth tables.

P T T F F Q T F T F POQ F T T F

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