Is This Boolean Expression and Logic Gate Diagram Correct?

[jannos]

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 :)

 

[anathema]

I would first like to commend you on your attempt at solving this circuit using logic gates. Your solution looks correct and efficient, using a combination of AND, OR, and XOR gates. However, I would suggest labeling your gates and inputs for clarity and to avoid any confusion. Additionally, you may want to simplify your expression further by using De Morgan's laws to reduce the number of gates needed. Great job overall!