Map the following SOP expression on a Karnaugh map: [latex]F(A,B,C,D)=A B{\bar{D}}+{\bar{A}}C[/latex]

The given SOP expression has a domain of four variables A, B, C, and D. You can directly map the product term in this SOP expression on a 4-variable Karnaugh map. The mapping process is shown in .Figure 3.6.5 The product term [latex]A B{\bar{D}}[/latex] is mapped by placing 1s in the two cross cells between the row of AB = 11 and the column of D = 0; The product term [latex]{\bar{A}}C[/latex] is mapped by placing 1s in four cross cells between the row of A = 0 and the column of C = 1.

Question 3.13: Map the following SOP expression on a Karnaugh map: F(A,B,C,......

Digital Electronic Circuits [1086384]

Map the following SOP expression on a Karnaugh map:

F(A,B,C,D)=A B{\bar{D}}+{\bar{A}}C

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The given SOP expression has a domain of four variables A, B, C, and D. You can directly map the product term in this SOP expression on a 4-variable Karnaugh map. The mapping process is shown in .Figure 3.6.5
The product term $A B{\bar{D}}$ is mapped by placing 1s in the two cross cells between the row of AB = 11 and the column of D = 0;
The product term ${\bar{A}}C$ is mapped by placing 1s in four cross cells between the row of A = 0 and the column of C = 1.