Boolean Simplification

Question

I've been trying to simplify this equation:

$Y = (¬AB + ¬C)(¬A + ¬D)$

.. into this equation.

$Y = ¬A¬C + ¬C¬D + ¬AB$

Unfortunately I keep going in circles with expanding and minimizing the booleans. Any tips or advice? Thanks.

Answer 1

Use the following simplification:

$\neg AB(\neg A + \neg D) = \neg AB\neg A + \neg AB\neg D = \neg AB + \neg AB\neg D = \neg AB$.