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

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Advance Math

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

p ? q = (p ? q) ? ¬(p ? q)

Using laws of propositional logic prove that conjunctiondistributes 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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