for the past hours, I have been simplifying a huge boolean expression. There is only one short piece missing, which, for the love of god, I can not manage to simplify.
The term is:
$$ Y = (A\cdot B \cdot C \cdot \overline{F})+(A\cdot B \cdot C \cdot E) + (A \cdot F) $$
Now, factoring out $A\cdot B \cdot C$ gives:
$$ Y = (A\cdot F)+(A\cdot B \cdot C)\cdot (\overline{F}+ E) $$
I have computed the simplest form of the expression to be:
$$ Y = (A \cdot B \cdot C)+(A \cdot F) $$
My guess is, to obtain the result, $(\overline{F}\cdot E)$ will need to be $1$. Now for that to happen, either $\overline{F}$ or $E$ will need to become 1. I assume, that would be somehow done by building the complement of $F$ and $\overline{F}$.
Thanks in advance! Apologies, if this is trivial and I'm just being dense.