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.

c)Form all possible subcubes of size 2 of f and give the corresponding algebraic repres entation of each.

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.

f)Of the subcubes generated in parts b, c, and d, identify those that are primeimplic ants and give the corresponding algebraic representation of each.