I have to prove analytically to see if these equations are exclusively or.
$$A⊕ A=0$$
Do I solve this by using the truth table?
A A Output
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0 0 0
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0 1 1
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1 0 1
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1 1 0
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How I am supposed to prove that this equation is a product of XOR?
$$A⊕B⊕A.B= A+B$$