Out the following steps in the proper sequence for simplifying a Boolean…
2024
Out the following steps in the proper sequence for simplifying a Boolean function using a Karnaugh map (K-map). (A) Identify and group the largest possible cluster of 1's (B) Draw the K-map for the given Boolean function (C) Write the simplified Boolean expression from the grouped clusters (D) Transfer the truth table values to the K-map
Choose the correct answer from the options given below:
- A.
(B), (D), (A), (C)
- B.
(D), (B), (A), (C)
- C.
(B), (A), (D), (C)
- D.
(A), (B), (C), (D)
Attempted by 386 students.
Show answer & explanation
Correct answer: A
Correct sequence:
Draw the Karnaugh map for the given Boolean function (set up the correct number of variables, cell order, and labels).
Transfer the truth table values to the K-map (fill each cell with the function value from the truth table).
Identify and group the largest possible clusters of 1s (groups must be powers of two: 1, 2, 4, 8, ...; groups may overlap and wrap around map edges).
Write the simplified Boolean expression from the grouped clusters (derive a product or sum term for each group, then combine).
Why this order?
You need the map layout before placing values so each truth-table entry maps to the correct cell. Grouping depends on the placed values, and simplification follows directly from those groups.
Quick tips:
Always form the largest possible groups (they yield the simplest terms).
Groups can overlap if that helps make them larger and reduce terms.
Remember wrap-around adjacency: opposite edges are adjacent in a K-map.
Check for redundant groups and remove them when they do not change the simplified expression.
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