a$)$ F$($x$,$y$,$z$)=(0,2,4,5)$

b$)$ F$($x$,$y$,$z$)=$x$\text{'}$y$\text{'}+$yz$+$x$\text{'}$yz$\text{'}$

c$)$ F$($w$,$x$,$y$,$z$)=(2,3,12,13,14,15)$

d$)$ x$\text{'}$z$+$w$\text{'}$xy$\text{'}+$w$($x$\text{'}$y$+$xy$\text{'})$

e$)$ Find minterms of xy$+$yz$+$xy$\text{'}$z by plotting it in a Karnaugh map.

f$)$ Find all the prime implicants of F $($w$,$ x$,$ y$,$ z$)=(0,2,4,5,6,7,8,10,13,15)$

Determine which are essential.

g$)$ Simplify F $($A$,$ B$,$ C$,$ D$)=(1,3,4,5,10,11,12,13,14,15)$ using essential prime

implicants.