Difficulty: Easy
Correct Answer: Karnaugh
Explanation:
Introduction / Context:
The Karnaugh map (K-map) is a graphical tool that helps minimize Boolean expressions by grouping adjacent 1s (or 0s) to identify prime implicants. It provides intuition and a low-effort path to simplified SOP or POS forms, especially for 2–6 variables.
Given Data / Assumptions:
Concept / Approach:
By arranging truth-table outputs on a grid with Gray-coded indices, adjacent cells differ by one variable. Grouping 1s in powers of two (1, 2, 4, 8, …) yields simplified terms by eliminating changed variables in the group.
Step-by-Step Solution:
Map minterms onto a K-map grid.Form largest possible power-of-two groups (wrap-around allowed).Write simplified product terms for each group and sum them.
Verification / Alternative check:
Algebraic minimization (consensus theorem, absorption) can confirm the K-map result; both should match.
Why Other Options Are Wrong:
“De Morgan” is a law, not a map. “Standard” and “Schottky” are not simplification maps; Schottky refers to a device/family.
Common Pitfalls:
Missing wrap-around adjacency; making too many small groups instead of maximal ones; forgetting don’t-care utilization.
Final Answer:
Karnaugh.
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