Hàm F được biểu diễn bằng bìa Karnaugh như hình trên, biểu diễn dạng đại số của hàm F là.

To find the algebraic expression of the function F from the Karnaugh map, we follow these steps: 1. **Identify groups of cells:** Observe the Karnaugh map and group the 1s together into the largest possible groups (always powers of 2, i.e., 1, 2, 4, 8, ... cells). 2. **Write the expression for each group:** For each group, determine which variables retain their value and which variables change. The variables that retain their value will appear in the expression for that group. 3. **Combine the expressions:** Combine the expressions of the groups together using the OR operation (logical addition). Analyzing the given Karnaugh map: * Group 1 (4 cells in the upper left corner): This group includes cells (0, 2, 4, 6). In this group, variable A = 0, variable C = 0. Therefore, the expression of this group is A'C'. * Group 2 (2 cells in the first row, second and third columns): This group includes cells (2, 3). In this group, variable A = 0, B changes its value, therefore, it does not appear in this group, C = 0. Therefore the expression is A'B'. * Group 3 (2 cells in the second row, first and second columns): This group includes cells (8, 9). In this group, variable A = 1, B=0, D = 0. Therefore, the expression of this group is AB'D'. * Group 4 (2 cells in the second row, third and fourth columns): This group includes cells (14, 15). In this group, variable A = 1, B changes its value, therefore, it does not appear in this group, C = 1, D=1. Therefore, the expression of this group is AC. Combining the expressions, we have: F = A'C' + AB'D' + AC + A'B'. Thus, the simplified expression for F is F = A'C' + A'B' + AB'D' + AC.