GATE EE 2018 Set 1 — Question 47
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Analog & Digital Electronics → Digital Logic Circuits → Boolean Algebra & Gates
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Question
Digital input signals with as the MSB and as the LSB are used to realize the Boolean function , where denotes the minterm. In addition, has a don't care for . The simplified expression for is given by
Correct answer
(B) A + C
Solution
The Boolean function is .
Using a 3-variable K-map:
Groups:
Using a 3-variable K-map:
| \ | 00 | 01 | 11 | 10 |
|---|---|---|---|---|
| 0 | 1 () | X () | 1 () | 1 () |
| 1 | 0 () | 1 () | 1 () | 0 () |
1.A quad covering (using the don't care ): This gives .
2.A quad covering (using the don't care ): This gives .
Thus, the simplified expression is .Continue learning with Success Tracker
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