Given the function f(A, B, C) = Sigma (0, 1, 4, 5, 6).

a) Construct the K- map representation of f,

b) Form all subcubes of size 1 and give the corresponding algebraic representation s .

c) Form all possible subcubes of size 2 of f and give the corresponding algebraic representation s .

d) Is it possible to form subcubes of size 3? Indicate why or why not.

e) Form all possible subcubes of size 4 of f and give corresponding algebraic representations .

f) Of the sub cubes generated in parts b through e, identify those that are prime- implic ants .