Question: 33. Use a Karnaugh map to find the minimum AND-OR expression for x (a, b, c, d): (a) (2, 3, 4, 5, 10, 12, 13)

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

(a,

b, c, d):

(a) Σ(2, 3, 4, 5, 10, 12, 13)

(b) Σ(1, 5, 6, 7, 9, 12, 13, 15)

(c) Σ(0, 1, 2, 4, 6, 8, 10)

(d) Σ(7)

(e) Σ(2, 4, 5, 11, 13, 15)

(f) Σ(1, 2, 4, 5, 6, 7, 12, 15)

(g) Σ(1, 2, 4, 5, 6, 7, 8, 11, 12, 15)

(h) Σ(1, 7, 10, 12)

(i) Σ(0, 2, 3, 4, 5, 6, 8, 10, 11, 13)

(j) Σ(0, 1, 2, 3, 4, 5, 6, 10, 11, 13, 14, 15)

(k) Σ(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14)

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