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In: Advanced Math

The ‘Exclusive OR’ operation (also called XOR) between two propositions p and q is defined as...

The ‘Exclusive OR’ operation (also called XOR) between two propositions p and q is defined as follows:

p ⊕ q = (p ∨ q) ∧ ¬(p ∧ q)

Using laws of propositional logic prove that conjunction distributes over Exclusive OR, i.e, for any proposition r,

r ∧ (p ⊕ q) ≡ (r ∧ p) ⊕ (r ∧ q).

Clearly state which law you are using in each step.

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Expert Solution

Colby Messinger answered 2 years ago
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