Question

Answer the following questions related to the function f(A, B, C, D) as defined by its minterms:

f(A, B, C, D) = ∑m(7,9,11,12,13,14,15)
a). Enter the minterms and maxterms on a suitable K-maps and decude the minimal 2ⁿᵈ canonical form for f(A,B,C,D).

Answer 1

To find the minimal 2nd canonical form for the function f(A, B, C, D), plot the given minterms on a Karnaugh map, group the 1s, and combine the groups with an OR operator.

Step-by-step explanation:

To find the minimal 2nd canonical form for the function f(A, B, C, D), we first need to represent the function using a Karnaugh map. The minterms given in the question are 7, 9, 11, 12, 13, 14, and 15. We can plot these minterms on the K-map by assigning 1s to the corresponding cells. Next, we group the 1s in the K-map to form groups of 2, 4, 8, or 16 adjacent cells. These groups will represent the terms in the minimal 2nd canonical form. Finally, we write down the terms from the groups and combine them with an OR operator to get the minimal 2nd canonical form.