Final answer:
The question involves using Karnaugh maps to simplify Boolean expressions in the field of digital logic design, which is a topic related to Computers and Technology at the College level.
Step-by-step explanation:
The student's question involves reducing Boolean expressions using a Karnaugh map (K-map), which is a topic in the field of digital logic design within Computers and Technology. The two Boolean functions provided by the student, F1 and F2, are represented in minterm form. You would typically use a K-map to simplify these expressions by grouping adjacent ones and forming simplified product terms.
For F1 = m(2,3,4,5,7,8,10,13,15), the K-map would be a 4-variable map, since the maximum minterm index (15) corresponds to a 4-bit binary number. We would place 1's in the cells corresponding to the minterms and look for groups of 1's that can be combined. These could be in groups of 1, 2, 4, or 8 to take advantage of common variables. After grouping, we write the simplified Boolean equation. For F2 = m(0,5,10,15), we would also create a K-map and follow a similar grouping process for simplification.