Question

Use the Karnaugh map to find the minimum POS form for the following expression: (

Aˉ+ Bˉ+C+ Dˉ)(Aˉ+B+ Cˉ+ Dˉ)( Aˉ+Bˉ+ Cˉ+Dˉ)(Aˉ+B+C+Dˉ)

Answer 1

To find the minimum POS form using a Karnaugh map, you need to follow certain steps. The minimum POS form for the given expression is (Bˉ+C+D)(Aˉ+B+D).

Step-by-step explanation:

To find the minimum POS (Product of Sums) form using a Karnaugh map, we need to follow these steps:

1. Create the Karnaugh map with four variables A, B, C, and D.
2. Write the given expression in terms of the Karnaugh map.
3. Group the 1s in the Karnaugh map into the largest possible rectangles or squares without overlapping.
4. Write the simplified expression by combining the grouped terms.
5. If needed, simplify further by applying boolean algebra rules.

Based on the steps above, the minimum POS form for the given expression is: (Bˉ+C+D)(Aˉ+B+D).