Boolean algebra question

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Homework Statement


The question is shown in the picture attached. I have also attached my attempt of the circuit using logic gates.


The Attempt at a Solution



This is my answer:

A’.B.C’.D’ + A’.B.C.D + A.B’.C’.D’ + A.B’.C’.D + A.B’.C.D’ + A.B.C.D’

= B.A’(C’.D’+C.D) + A.C.D’ + B’.A.C’

=B.A’.(C⊕D)' + A.C.D’ + B’.A.C’

Have I made any errors and does this look like the most effective way of drawing this circuit using 'standard' logic gates?

Thanks :)
 

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