Digital system homework

1a) F(a,b,c,d) = Σ m(0,1,3,5,6,7,11,12,14)

b) F(a,b,c,d) = Σ m(0,2,3,4,7,8,14)

c) F(a,b,c,d) = Σ m(1,2,4,15) + Σ d(0,3,14)

d) F(a,b,c,d) = Σ m(1,3,4,11) + Σ d(2,7,8,12,14,15)

2a) F(a,b,c,d,e) = Σ m(0,1,3,4,6,7,8,10,11,15,16,18,19,24,25,28,29,31) + Σ d(5,9,30)

b) F(a,b,c,d,e) = Σ m(1,3,5,8,9,15,16,20,21,23,27,28,31)

3) F(a,b,c,d,e,f) = Σ m(0,2,4,8,10,13,15,16,18,20,23,24,26,32,34,40,41,42, 45, 47,48, 50, 56, 57, 58,60, 61)