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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 Science20255 marksCase based
$F(X, Y, Z, W) = \pi(0, 1, 2, 3, 4, 6, 8, 9, 11, 12)$
(a)[4.0]
Reduce the Boolean function $F(X, Y, Z, W) = \pi(0, 1, 2, 3, 4, 6, 8, 9, 11, 12)$ 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 $F = (X+W) \cdot (Y+W') \cdot (Z+W)$: three 2-input OR gates feeding one 3-input AND gate.
Diagram for this answer
Boolean Algebra

From ISC 2025 Improvement 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.