Question

Minimize the following logic function using the Karnaugh maps method: f(a, b, c) = a'b + bc' + bc + ab'c'

Answer 1

To minimize the given logic function, create a Karnaugh map and group adjacent minterms that differ by only one variable before simplifying them.

Step-by-step explanation:

To minimize the given logic function using the Karnaugh map method, we can follow these steps:

1. Create a Karnaugh map with variables a, b, and c.
2. Plot the minterms for the given function on the Karnaugh map.
3. Group adjacent minterms that differ by only one variable.
4. Simplify each group into a single term by excluding the varying variable.
5. Write the simplified terms as the minimized logic function.

By following these steps, we can minimize the function f(a, b, c) = a'b + bc' + bc + ab'c' as f(a, b, c) = a'b + bc + ac'.