Question:medium
Consider the following Karnaugh Map (K-map). Minimal Function generated by this Karnaugh map is:
Consider the following Karnaugh Map (K-map). Minimal Function generated by this Karnaugh map is:
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In Karnaugh maps, group ones in powers of 2 to simplify the boolean expression. The minimal function can often be derived by looking for the largest possible groups.
Updated On: Mar 7, 2026
- \( Q.S + P.Q \)
- \( Q.S' + P.Q \)
- \( P.Q' + Q.S' + P.S \)
- \( P.Q + Q.S' + P.S' \)
Show Solution
The Correct Option is C
Solution and Explanation
Step 1: K-map Simplification.
The minimal function is derived from the provided K-map by grouping the ones and simplifying the resulting terms. The groupings yield the following minimal terms:
- \( P.Q' \) from the top-left group.
- \( Q.S' \) from the second row.
- \( P.S' \) from the second column group.
Step 2: Conclusion.
The final minimal function is \( P.Q' + Q.S' + P.S' \).
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