Question

Find both the minimum SOP and minimum POS expressions for the
function below
F=£(4, 10, 11, 12, 14) + £d (1,3,5, 8, 9)

Answer 1

Let A,B,C,D be the Input Variables

Given Function is

F (A, B, C, D) = ​ m (4, 10, 11, 12, 14) + d (1, 3, 5, 8, 9)

Above Function in K-map as follows

Simplified K-map as follows

The Simplified SOP of F (A, B, C, D) = A’BC’+AD’+B’D

From the Above K-map the max terms will be as follows

Given Function is

F (A, B, C, D) = ​ M (0, 2, 6, 7, 13, 15) + d (1, 3, 5, 8, 9)

Above Function in K-map as follows

Simplified K-map as follows

The Simplified POS of F (A, B, C, D) =(A+C’)(B+C)(B’+D’)