Question #$1$:

For a given Boolean function F$($A$,$B$,$C$,$D$)=\backslash$sum $(0,2,5,7,10,13,15)$ together with don't care

conditions d $($A$,$ B$,$ C$,$ D$)=\backslash$sum $(4,8,14).$

A$.$ Determine the simplified sum of products $($SOP$).(10$ pts$)$

B$.$ Implement the simplified F in part $(1)$ with only NAND gates. $(10$ pts$)$

C$.$ Determine the simplified product of sums $($POS$).(10$ pts$)$

D$.$ Implement the simplified F in part $(3)$ with only NOR gates. $(10$ pts$)$

USE KARNAUGH MAPS IF NEEDED, DE MORGANS THEOREM AND DO ALL GATES AND CIRCUITS