Optimize the following Boolean function by finding all prime implicant and essential prime implicant f(W,X,Y,Z) =∑ m(0,2,3,5,7,8,10,11,12,13)

Karnaugh maps and standard shapesFor the following function:F(A,B,C,D)= Σm(0,1,2,5,8,9,10) Using the Karnaugh map (See image), the following minimal function is obtained in the form of product of sums: F (A,B,C,D)= (C' + D') (B' + D) (A ' + B') 1-) Identify all prime implicants and/or essential implicants in terms of the function variables

Consider the minterm expansion for f=Σm(1, 3, 4, 5, 6, 7, 9, 11) with 4 variables. (a) Draw its Karnaugh map. (b) Write down expression for all the prime implicants. (c) Write down expression for all the essential prime implicants. (d) Write down the minimum sum of product expression for f.

Find the simplest POS expression using K- Maps for the following functions. For each, list all prime implicants found in the K-Map, then list only the essential prime implicants, and then list the simplest solution. i. f (x1, x2, x3) = II M (0, 1, 2, 4, 5) ii. f (x1,x2, x3, x4) = ПМ (0, 1, 2,4, 5) Em (1, 2,5, 6, 7,8, 10, 14)