Question

Consider the following Boolean function F with "don't cares". Construct a k-map for function F and obtain the minimal SOP expression. Show grouping on k-map properly. No credits will be given if you do not show groups on k-map.

F(A,B,C,D) = ∑(0,1,4,6,7,10,12,13) + d(2,5,8,9,15)

Answer 1

To construct the Karnaugh map and find the minimal SOP expression for Boolean function F.

Step-by-step explanation:

To construct the Karnaugh map for the Boolean function F, we first write down the truth table for F(A, B, C, D). Each combination of input variables is listed, and the corresponding output value is determined based on the given function F.

After that, we group the midterms together on the K-map to simplify the Boolean expression. Each group should contain a power of 2 number of 1s. The groups can be formed horizontally or vertically, depending on the arrangement of the 0s and 1s on the K-map.

Using the K-map, we can determine the minimal sum of products (SOP) expression for function F. By grouping the midterms on the K-map, the SOP expression can be obtained by combining the grouping terms using logical OR.