Given the Boolean function . Reduce the above expression by using 4-variable Karnaugh map, showing…
Computer Science20235 marksCase based
Given the Boolean function $F(A, B, C, D) = \pi(0, 1, 3, 5, 6, 7, 9, 11, 13, 14, 15)$.
(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)
AI
Logic gate diagram for $F=(A+B+C)\cdot(B'+C')\cdot D'$: a 3-input OR gate (A, B, C) and a 2-input OR gate (B', C') feed a 3-input AND gate together with D'.
