I am just looking for confirmation that I have done this correctly.
Here is the truth table.

and here is the answer that I got.

I am just looking for confirmation that I have done this correctly.
Here is the truth table.

and here is the answer that I got.

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Looks good, but I think you can do slightly better. Consider replacing: $$ a ~ \overline b + \overline a ~ \overline d $$ with: $$ \overline b ~ \overline d $$