I'm sorry, but as a text-based AI, I'm unable to draw images or diagrams. However, I can explain how to draw a 4-variable Karnaugh map and guide you through the process.
A 4-variable Karnaugh map, also known as a K-map, is a graphical representation used to simplify Boolean functions up to four variables. It consists of a grid with 16 cells. Each cell represents a corresponding combination of input variables.
To draw a 4-variable Karnaugh map, follow these steps:
1. Start by labeling the rows and columns with the binary digits for the variables. For example, if your variables are A, B, C, and D, label the rows and columns as A, B, C, and D respectively. The row labels should be arranged in Gray code order, which means that only one variable should change between consecutive labels.
A B
C ╱
D
2. Number the cells in the map from 0 to 15, in binary order, starting from the top-left cell and reading left to right, top to bottom.
3. Assign the values of your Boolean function to each cell in the map. You can use 0s and 1s to represent the function values, or a hyphen (-) if a value doesn't matter.
4. Group adjacent 1s in power-of-2 blocks (1, 2, 4, 8, etc.). Each group should be a rectangle and must contain a power-of-2 number of cells. The groups can span horizontally or vertically, but not diagonally.
5. Simplify the Boolean function by identifying the largest groups (minterms) and writing the simplified expression accordingly. Each minterm corresponds to a product term in the simplified expression.
Remember that a K-map is a visual representation and simplification tool for Boolean functions. Once you complete the K-map, you can use it to minimize or simplify the given Boolean function using different methods like the Quine-McCluskey method or Boolean algebra techniques.
4-variable karnaugh maps. Draw the k-map
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