GATE CS 2014 Set 3 — Question 17
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Digital Logic → Boolean Algebra & Logic Gates → K-Map Minimization
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Question
Consider the following minterm expression for :The minterms 2, 7, 8 and 13 are 'do not care' terms. The minimal sum-of-products form for is
Correct answer
(B) QS + QS
Solution
The function is given by the minterms and don't-care terms .We construct a 4-variable K-map for
Grouping:
F(P,Q,R,S):| 00 | 01 | 11 | 10 | |
|---|---|---|---|---|
| 00 | () | () | ||
| 01 | () | () | ||
| 11 | () | () | ||
| 10 | () | () |
1.Four Corners: Cells , , , and .
- varies (), varies ().
- is constant , is constant .
- This group yields the term .
- varies (), varies ().
- is constant , is constant .
- This group yields the term .
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