Simplify the given logic functions using a Karnaugh map. Also, realize the minimum [15] ..SOP /POS function in each case, using logic gates.(a) F1 = ABC D +ABC D +ABC D +ABC D(b)F2 = nM (0,1,2,4,S,10,tt,13,14,tS) ,(c) F3 = L m (1, 3, 4, 5, 7, 10, 12, 13)Page 2 of 2

To simplify the given logic functions using a Karnaugh map and realize the minimum SOP/POS function in each case using logic gates, follow these steps:

(a) F1 = ABCD + ABCD + ABCD + ABCD

1. Create a Karnaugh map with four variables A, B, C, and D.
2. Fill in the map with the given function F1 values for each combination of inputs.
3. Group adjacent 1s in the map to form larger groups (2, 4, 8, etc.) if possible.
4. Write down the simplified expression for F1 by combining the grouped terms using OR operations.
5. Implement the simplified expression using logic gates.

(b) F2 = nM(0, 1, 2, 4, S, 10, tt, 13, 14, tS)

1. Create a Karnaugh map with four variables A, B, C, and D.
2. Fill in the map with the given function F2 values for each combination of inputs.
3. Group adjacent 0s in the map to form larger groups (2, 4, 8, etc.) if possible.
4. Write down the simplified expression for F2 by combining the grouped terms using AND operations.
5. Implement the simplified expression using logic gates.

(c) F3 = Lm(1, 3, 4, 5, 7, 10, 12, 13)

1. Create a Karnaugh map with four variables A, B, C, and D.
2. Fill in the map with the given function F3 values for each combination of inputs.
3. Group adjacent 1s in the map to form larger groups (2, 4, 8, etc.) if possible.
4. Write down the simplified expression for F3 by combining the grouped terms using OR operations.
5. Implement the simplified expression using logic gates.

Note: The specific steps for simplifying and realizing the functions may vary depending on the specific Karnaugh map and logic gates used.