$4.$ Simplify each Boolean function by means of a K$-$map. That is$,(1)$ mark the corresponding

rectangles on K$-$map that are used to simplify the Boolean function. $(2)$ write down the optimized

function F obtained from the K$-$map.

F$($A$,$ B$,$ C$,$ D$)=$ m$0+$ m$1+$ m$9+$ m$13+$ m$14$

d$($A$,$ B$,$ C$,$ D$)=$ m$5+$ m$6+$ m$8$

$(4\mathrm{.}1)(8$ points$)$ Mark the corresponding rectangles on K$-$map below.

CD

AB

$(4\mathrm{.}2)(8$ points$)$ Write down the simplified function F obtained from the K$-$map above.