Simplify the following Boolean functions by using K$-$map. To get a full credit, your

answer should be the simplest form.

$1\mathrm{.}1.(5$ points$)F=x^{\text{'}}{y}^{\text{'}}{z}^{\text{'}}+x^{\text{'}}y{z}^{\text{'}}+xy{z}^{\text{'}}+xyz$

$1\mathrm{.}2.(5$ points$)F=A^{\text{'}}{B}^{\text{'}}{C}^{\text{'}}+A^{\text{'}}B{C}^{\text{'}}+A^{\text{'}}BC+A{B}^{\text{'}}{C}^{\text{'}}+AB{C}^{\text{'}}$

$1\mathrm{.}3.(5$ points$)F=w^{\text{'}}z+xz+x^{\text{'}}y+w{x}^{\text{'}}z$

$1\mathrm{.}4.(5$ points$)F=wxy+yz+x{y}^{\text{'}}z+x^{\text{'}}y$