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Find out the Simplified Boolean function using Karnaugh map method for the function F (A, B, C, D) = Σm (1, 5, 9, 12, 13, 15) is

Question

Find out the Simplified Boolean function using Karnaugh map method for the function

F (A, B, C, D) = Σm (1, 5, 9, 12, 13, 15) is

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Solution

Sure, let's simplify the given Boolean function using the Karnaugh map method.

Step 1: Draw a 4-variable Karnaugh map. The variables A, B will be on one side and C, D on the other side.

Step 2: The minterms 1, 5, 9, 12, 13, 15 are marked as 1 in the Karnaugh map. The remaining cells are filled with 0.

Step 3: Group the 1s in the Karnaugh map. The groups should be formed in such a way that they contain the maximum number of 1s and the number of 1s should be a power of 2 (1, 2, 4, 8 and so on).

Step 4: Write the simplified Boolean function for each group.

Step 5: The final simplified Boolean function is the OR of all the simplified functions from each group.

Without the actual Karnaugh map, it's hard to visualize the process. But this is the general method to simplify a Boolean function using a Karnaugh map.

This problem has been solved

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