31. Use a Karnaugh map to find the minimum AND-OR expression for x

(a,

b, c):

(a) Σ(0, 4, 5, 7)

(b) Σ(2, 3, 4, 6, 7)

(c) Σ(0, 3, 5, 6)

(d) Σ(0, 1, 2, 3, 4, 6)

(e) Σ(1, 2, 3, 4, 5)

(f) Σ(1, 2, 3, 4, 5, 6, 7)

(g) Σ(0, 1, 2, 4, 6)

(h) Σ(1, 4, 6, 7)

(i) Σ(2, 3, 4, 5, 6)

(j) Σ(0, 2, 5)