Use a Karnaugh map to find the minimum SOP form for each expression: (b) AC ( {overline B} +C)

To find the minimum SOP (Sum of Products) form for the expression AC ( {overline B} +C) using a Karnaugh map, follow these steps:

1. Identify the variables in the expression. In this case, the variables are A, B, and C.

2. Create a Karnaugh map with a cell for each possible combination of the variables. Since there are three variables, you will have a 2x4 Karnaugh map.

3. Fill in the Karnaugh map. The expression AC ( {overline B} +C) can be expanded to AC{overline B} + AC. This means that the cells corresponding to AC{overline B} and AC should be filled with 1s, and all other cells should be filled with 0s.

4. Group the 1s in the Karnaugh map. In this case, you can group the two 1s together.

5. Write the SOP expression for each group. The group corresponds to AC.

6. Combine the SOP expressions for all groups to get the minimum SOP form. In this case, the minimum SOP form is also AC.

So, the minimum SOP form for the expression AC ( {overline B} +C) is AC.