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Consider three 4-variable functions f1 , f2 , and f3 , which are expressed in sum-of-minterms as

For the following circuit with one AND gate and one XOR gate, the output function f can be expressed as:
  • a)
    ∑ ( 7,8,11)
  • b)
    ∑ ( 2,14)
  • c)
    ∑ ( 2, 7,8,11,14)
  • d)
    ∑ ( 0, 2, 3, 5, 6, 7,8,11,14,15)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider three 4-variable functions f1 , f2 , and f3 , which are expre...


It means overall minterm of F should be either minterm of (f1. f2) or minterm of f3.

Minterm 2 and 14 is common in all three functions.
So, it shouldn‟t be in overall functions minterm.
These are not present only in option (A).
So, overall minterm =∑ ( 7, 8,11)
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