GATE EE 2016 Set 2 — Question 11
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Analog & Digital Electronics → Digital Logic Circuits → K-Map Minimization
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Question
The output expression for the Karnaugh map shown below is
Correct answer
(B) A + C
Solution
The Karnaugh map is given as:
We can identify two groups of 1s:
| \ | 00 | 01 | 11 | 10 |
|---|---|---|---|---|
| 0 | 1 | 0 | 0 | 1 |
| 1 | 1 | 1 | 1 | 1 |
1.Row Group: The entire second row () is filled with 1s. This corresponds to the term .
2.Corner/Edge Group: The four cells in the first and last columns ( and ) are all 1s. These cells are . Simplifying this group (where is constant) gives .
Combining these, the simplified Boolean expression is .Continue learning with Success Tracker
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