Q: \$\overline{x}y+x\overline{y}+\overline{y}z\$, Turn this into NOT and OR gates only.
Just apply De Morgan's law on each of them individually.
Here's a refreshener:
\$\overline{AB}=\overline{A}+\overline{B}\$
\$\overline{A+B}=\bar{A}\bar{B}\$
\$\overline{\overline{A}}=A\$
First add some not gates.
\$\overline{\overline{\overline{x}y}}+\overline{\overline{x\overline{y}}}+\overline{\overline{\overline{y}z}}\$
Then De Morgan them to the maximum.
Here's the continuation in hidden format, I do encourage you to apply De Morgan's law on your own.
\$\overline{\overline{\overline{x}}+\overline{y}}+\overline{\overline{x}+\overline{\overline{y}}}+\overline{\overline{\overline{y}}+\overline{z}}\$
And after you've applied De Morgan's Law, then you might want to remove unnecessary gates. Use these two yellow boxes as a way to control that you've calculated correctly.
\$\overline{x+\overline{y}}+\overline{\overline{x}+y}+\overline{y+\overline{z}}\$
This is how it looks like in a schematic.
