Question

Simplify the following SOP expression using Karnaugh Map:

a. F(A,B,C,D)=A ′ BC ′ D+AB ′ C ′ D+A ′ B ′ C ′D+ABCD+ABCC ′ +ABCD
b. F(A,B,C,D)=Σ(1,2,3,4,7,9,10,12)

Answer 1

To simplify the given SOP expressions using a Karnaugh Map, plot the minterms, group them together, and write the simplified expression.

Step-by-step explanation:

To simplify the given SOP expression using a Karnaugh Map, we first need to plot the minterms and group them together in the map. The map for expression (a) would have 4 variables: A, B, C, and D. Then, we can identify the groups of 1s in the map and simplify the expression by combining them. After combining the groups, we can write the simplified expression. For expression (b), we can convert the given minterm representation into a Karnaugh Map and simplify it using the same process, grouping the 1s and writing the simplified expression.