Given the Boolean function F(A,B,C,D)=(0,1,6,7,10,11) together with the don't care conditions d(A,B,C,D)=ABC. a) Simplify F in sum of products (SOP). b) Implement F with one NAND gate only. c) Simplify F in product of sums (POS). d) Implement F with two NOR gates only. Exercise: 02 Simplify the following Boolean functions, using fourvariable maps: (a)* F(w,x,y,z)=(1,4,5,6,12,14,15) (b) F(A,B,C,D)=(2,3,6,7,12,13,14) (c) F(w,x,y,z)=(1,3,4,5,6,7,9,11,13,15) (d) F(A,B,C,D)=(0,2,4,5,6,7,8,10,13,15)