Is the logical expression correct?

Question

block diagram

Tell me, is the logical expression for the logical circuit written correctly?

((!(A^B)+!B)*C)^(!(A+D))

Answer 1

Since you are not interested in the analytical method, you can apply the empirical one.
For each state of the ABCD variables, count F both in the schema and in your expression.
If F are the same, it turns out. So the expression is equivalent to the schema.
ABCDF
0 0 0 0 ?
0 0 0 1 ?
0 0 1 0 ?
0 0 1 1 ?
0 1 0 0 ?
0 1 0 1 ?
0 1 1 0 ?
0 1 1 1 ?
1 0 0 0 ?
1 0 0 1 ?
1 0 1 0 ?
1 0 1 1 ?
1 1 0 0 ?
1 1 0 1 ?
1 1 1 0 ?
1 1 1 1 ?