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Given F1 = Π M (0, 4, 5, 6) and F2 = Π M (0, 3, 4, 6, 7). The maxterm expansion for F1F2 is given by:
  • a)
    Π M (3, 5, 7)
  • b)
    Π M (1, 2)
  • c)
    Π M (0, 3, 4, 5, 6, 7)
  • d)
    Π M (0, 3, 5, 7)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Given F1= Π M (0, 4, 5, 6) and F2= Π M (0, 3, 4, 6, 7). The maxt...
  • If two functions are represented in terms of max terms, the product will include all the max terms that are present in either of F1 or F2. This is because max terms are the values for which the function, gives a 0 output.
  • If two functions are represented in terms of minterms, the product will include all the common min terms present in both F1 and F2. This is because minterms are the values for which the function gives an output of 1.
Application:
F1 (a, b, c) = Π M (0, 4, 5, 6)
And F2 (a, b, c) = Π M (0, 3, 4, 6, 7)
The product F1F2  will include all the max terms that are present in either F1 or F2
∴ F(a, b, c) = F1.F = Π M (0, 3, 4, 5, 6, 7)
Alternate Method:
In the form of minterms, the given function can be expressed as:
F1(a, b, c) = ∑ m (1, 2, 3, 7)
F2 (a, b, c) = ∑ m (1, 2, 5)
The product F1F2 will include minterms that are present in both F1 and F2 (common minterms), i.e.
F(a, b, c) = ∑ m (1, 2)
Now, the function can be expressed in the form of max terms as:
F(a, b, c) = ∑ m(1, 2) = Π M (0, 3, 4, 5, 6, 7)
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Given F1= Π M (0, 4, 5, 6) and F2= Π M (0, 3, 4, 6, 7). The maxt...
The question is incomplete as it does not provide any information about what F1 represents. Please provide more information or clarify the question.
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