Find the complement of the following Boolean expression using De Morgan’s law:

$F' = a'bc'$ $F = (b' + c) + a$ $F' = [(b' + c) + a]' = (b' + c)' \cdot a'$ (De Morgan's law) $= (b'' \cdot c') \cdot a' = b \cdot c' \cdot a'$ (De Morgan's law, involution law) So $F' = a'bc'$ (verified with the boolean tool).