Given f1, f3 and f in canonical sum of products form (in decimal) for the…
2008
Given f1, f3 and f in canonical sum of products form (in decimal) for the circuit
- A.
Σ m(4, 6)
- B.
Σ m(4, 8)
- C.
Σ m(6, 8)
- D.
Σm(4, 6, 8)
Attempted by 145 students.
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Correct answer: C
Key idea: to compute the AND of two functions given in minterm form, take the intersection of their minterm sets.
f1 minterms: {4, 5, 6, 7, 8}
f2 minterms: {1, 6, 8, 15}
Intersection (f1 AND f2): {6, 8} → therefore f1·f2 = Σ m(6,8)
Conclusion: The product f1 AND f2 corresponds to the minterms Σ m(6,8).
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