3. Simplify the following functions using a K-map and obtain the minimal SOP and minimal POS equations for each function. (40 pts) a) F(a, b,c) -Im(0,1,3,5) b) F(a, b, c, d) -Im(0,2,3,5,7,8,9,10,13,15) c) F(a,b,c,d)=TM(0,1,4,8,9,10,12,14) d) F(a,b,c,d)_(1,2,3,4,8,11,12,15) e) F(a, b, c, d) -2m(0,2,3,5,7,8,9,10,13,15) + dc(1,6,11,14) f) F(a, b, c, d)= M(0,1,4,8,9,10,12,14) + de(2,3,7,15) g) F(a, b, c, d)-(1,4,6,9,12,15)+dc(2,3,13,14)