Question 7.9: Applying De Morgan’s Laws Apply De Morgan’s laws to the righ...

First, we replace each variable by its inverse, resulting in the expression

\bar{A}\bar{C}+B\bar{C}+A\left(B+\bar{B}\bar{C}\right)

Then, we replace the AND operation by OR, and vice versa:

\left(\bar{A}+\bar{C}\right) \left(B+\bar{C}\right) \left[A+B\left(\bar{B}+\bar{C}\right) \right]

Finally, inverting the expression, we can write

D=\overline{\left(\bar{A}+\bar{C}\right)\left(B+\bar{C}\right)\left[A+B\left(\bar{B}+\bar{C}\right)\right]}

Therefore, De Morgan’s laws give us an alternative way to write logic expressions.