Use a Karnaugh map to minimize the following SOP expression: F (A, B, C, D) = AD + ABD + ACD + ACD

Question

Use a Karnaugh map to minimize the following SOP expression:

[latex]F( A, B, C, D) = \bar{A}\bar{D}+A\bar{B}\bar{D}+\bar{A}\bar{C}D+ \bar{A}C D[/latex]

Accepted Answer

Map the SOP expression on a 4-variable Karnaugh map. Note that the four cells in the four corners are also adjacent and they can form a group in Figure 3.6.12.
The resulting minimum SOP expression is

[latex]F(A,B,C,D)={\bar{A}}+{\bar{B}}{\bar{D}}[/latex]

Question 3.18: Use a Karnaugh map to minimize the following SOP expression:......

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