Question

Simplify the following Boolean function using a four-variable K-map

FA, B, C, D=Σ2, 3, 6, 7, 12, 13, 14

Answer 1

To simplify the given Boolean function using a four-variable K-map, follow the steps: fill in the K-map table, group the adjacent 1s, write the simplified function, and verify the answer.

Step-by-step explanation:

To simplify the given Boolean function using a four-variable K-map, follow these steps:

1. Fill in the K-map table with the given min terms: 2, 3, 6, 7, 12, 13, and 14.
2. Group the adjacent 1s in the K-map to form groups of 2, 4, or 8 1s.
3. Write the simplified function by combining the groups of 1s using Boolean algebra.
4. Verify the answer by substituting the simplified function back into the K-map and checking that all the min terms are covered.

By following these steps, you should be able to simplify the Boolean function.