Question

Given the function f(a,b,c,d)=M(3,4,5,10,11,12,13), find the minimum POS form using a K-Map

Answer 1

To find the minimum POS form using a K-Map for the given function, follow these steps: create a Karnaugh map, mark the cells corresponding to the minterms, group the adjacent 1s, convert groups into product terms, write the sum of the product expression, and simplify using De Morgan's theorem.

Step-by-step explanation:

In order to find the minimum POS form using a K-Map for the function f(a,b,c,d)=M(3,4,5,10,11,12,13), we need to follow these steps:

1. Create a Karnaugh map with four variables: a, b, c, and d.
2. Label the rows and columns of the K-Map with the binary representations of the variables.
3. For each minterm in M(3,4,5,10,11,12,13), mark the corresponding cell in the K-Map with a 1.
4. Group the adjacent 1s in powers of 2 (1, 2, 4, 8, etc.) and identify the resulting groups.
5. Convert the identified groups into product terms.
6. Write the sum of the product (SOP) expression using the product terms obtained in the previous step.
7. Apply De Morgan's theorem to simplify the SOP expression to the minimum POS form.

Following these steps, you should be able to find the minimum POS form of the function f(a,b,c,d)=M(3,4,5,10,11,12,13) using a K-Map.