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Problem 4 (12 points): The exclusive-or operator ⊕, is definedby the rule that a ⊕ b is true whenever a or b is true but notboth.
Calculate x ⊕ x, x ⊕ ¬x, x ⊕ 1, x ⊕ 0.
Prove or disprove that x + (y ⊕ z) = (x + y) ⊕ (x + z)
Prove or disprove that x ⊕ (y + z) = (x ⊕ y) + (x ⊕ z)
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