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Reduce the following using a Karnaugh map.
Given the Boolean function . Reduce the above expression by using 4-variable Karnaugh map, showing…
Given the Boolean function $F(A, B, C, D) = \Sigma(0, 1, 2, 3, 4, 6, 9, 11, 13)$.
(a)[4.0]
Reduce the above expression 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
Must show: variables and their complements as inputs
Answer
Answer (b)
AILogic gate diagram for $F = A'D' + B'D + AC'D$: two 2-input AND gates and one 3-input AND gate feeding a 3-input OR gate.
From ISC 2023 Specimen Computer Science Paper 1, question 3(i).
Check your working with the Boolean algebra solver: the steps law by law, the K-map and the logic circuit for any expression.