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Reduce the following using a Karnaugh map.

Reduce the Boolean function by using 4-variable Karnaugh map, showing the various groups (i.e…

Computer Science20245 marksCase based
$F(A,B,C,D) = \pi (0, 1, 2, 3, 4, 6, 9, 11, 13)$
(a)[4.0]
Reduce the Boolean function $F(A,B,C,D) = \pi (0, 1, 2, 3, 4, 6, 9, 11, 13)$ by using 4-variable Karnaugh map, showing the various groups (i.e. octal, quads and pairs).
(b)[1.0]
Draw the logic gate diagram for the reduced expression. Assume that the variables and their complements are available as inputs.

Draw: logic gate diagram for the reduced expression

Answer

Answer (b)

AI
Logic gate diagram for $F(A,B,C,D) = (A+D) \cdot (B+D') \cdot (A'+C+D')$: three OR gates feeding one AND gate.
Diagram for this answer
Boolean Algebra

From ISC 2024 Specimen Computer Science Paper 1, question 4(i).

Check your working with the Boolean algebra solver: the steps law by law, the K-map and the logic circuit for any expression.