Question $3[15$ points$]$:

Given the Boolean function $F(A,B,C,D)=A{B}^{\text{'}}{C}^{\text{'}}+A^{\text{'}}{B}^{\text{'}}C+D(0,1,10,11,15)$

a$)$ Represent the Truth table of the given function. $($Pay attention to Don't care conditions$)$

b$)$ Draw a Karnaugh map, and conclude a simplified form of the Boolean function using SOP and POS

c$)$ Draw the circuit diagram of the simplified function.