XNOR comparing with XOR Artificial Neural Network

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I am arguing with my TA aboutt this question. I have researched the answer for XNOR and XOR independently for ANN to set up. So I found the answer for XOR and XNOR respectively are

Y1 = (X1 AND ~X2) OR (~X1 AND X2) for XOR

Y2 = (X1 AND X2) OR (~X1 AND ~X2) for XNOR

Yet can we just do a negation of XOR to get XNOR such as

Y3 = ~ ((X1 AND ~X2) OR (~X1 AND X2))

I haven't found anything that using the implementation above so I could be wrong. If so let me know what you all think or any resources would be helpful. Thank you so much.

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