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For the Boolean expression given belowF(A,B,C,D) = (2,3,6,7,9,11,13,15)d(A,B,C,D) = (0,4,5)(i) Plot the k-Map

Question

For the Boolean expression given belowF(A,B,C,D) = (2,3,6,7,9,11,13,15)d(A,B,C,D) = (0,4,5)(i) Plot the k-Map

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Solution

I'm sorry, but as a text-based AI, I'm unable to plot or draw diagrams, including Karnaugh maps. However, I can guide you on how to plot the K-map for the given Boolean expression.

Here's how you can do it:

  1. Create a 4-variable Karnaugh map, which will be a 4x4 grid. Label the rows and columns with the variables A, B, C, and D in Gray code order (00, 01, 11, 10).

  2. For the given minterms (2,3,6,7,9,11,13,15), place a '1' in the corresponding cells. The numbers represent the decimal equivalent of the binary values of ABCD. For example, minterm 2 corresponds to AB=00 and CD=10.

  3. For the don't care conditions (0,4,5), place an 'X' in the corresponding cells.

  4. All other cells should be filled with '0'.

Remember, the goal of a K-map is to group the '1's (and 'X's if it helps) in power of 2 (1, 2, 4, 8) to simplify the Boolean expression. The larger the group (priority for 8, then 4, then 2), the more simplified your expression will be.

This problem has been solved

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