Our professor gave us this equation to simplify and after 3 hours and countless attempts I'm still stuck. I'm very new to Boolean logic so thats probably not a good indication at its difficulty :p.
Inputs: A, B, C, D Output: Y
Anyways here is the equation:
$$\overline{(AB ⊕ CD) + (D ⊕ A)(\overline{\overline A\ \overline B\ \overline C}})$$
Key:
A ⊕ B = A xor B
AB = A and B
A + B = A or B
$\overline A$ = not A
Any help would be really appreciated.
(Need to submit my assignment tomorrow, need help asap pls. I'm really stuck and came here only after trying it myself as much as I could.)
EDIT: There was a typo in the question, updated it with the correct question in both post and title.
Hint.
$$ x_{1}\oplus x_{2}=x_{1}\bar{x}_{2}+\bar{x}_{1}x_{2} $$
$$ \overline{\bar{x}_{1}\bar{x}_{2}}=x_{1}+x_{2} $$