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Consider the following sum of products expression, F

The equivalent product of sums expression is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the following sum of products expression, FThe equivalent pro...
Concept:
The SOP representation of the circuit is:
F = Σm (minterms)
Minterm: a minterm of n variables is a product of the variables in which each appears exactly once in true or complemented form.
The POS representation of the circuit:
F = ΠM (max terms)
Maxterm: a maxterm of n variables is a sum of the variables in which each appears exactly once in true or complemented form.
Calculation:
Given,

For the function, we form the K-map as:

Hence, the function in the form of minterms is expressed as:
f(A, B, C) = Σm (0,1,3,5,7)
Now, we put 0 in each block of the K-map excluding the blocks corresponding to the terms in the above function.

Grouping the 0’s in K-map, we obtain the max terms as
F = πM(2, 4, 6)
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Community Answer
Consider the following sum of products expression, FThe equivalent pro...
Concept:
The SOP representation of the circuit is:
F = Σm (minterms)
Minterm: a minterm of n variables is a product of the variables in which each appears exactly once in true or complemented form.
The POS representation of the circuit:
F = ΠM (max terms)
Maxterm: a maxterm of n variables is a sum of the variables in which each appears exactly once in true or complemented form.
Calculation:
Given,

For the function, we form the K-map as:

Hence, the function in the form of minterms is expressed as:
f(A, B, C) = Σm (0,1,3,5,7)
Now, we put 0 in each block of the K-map excluding the blocks corresponding to the terms in the above function.

Grouping the 0’s in K-map, we obtain the max terms as
F = πM(2, 4, 6)
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Consider the following sum of products expression, FThe equivalent product of sums expression isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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