A product of sum (POS) form of logic function consists of only _____ while a…
2021
A product of sum (POS) form of logic function consists of only _____ while a sum of product (SOP) form of logic function consists of only _____.
- A.
maxterms; maxterms
- B.
minterms; minterms
- C.
minterms; maxterms
- D.
maxterms; minterms
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Correct answer: D
Answer: A product of sums (POS) consists only of maxterms, while a sum of products (SOP) consists only of minterms.
Maxterm: an OR (sum) term that evaluates to 0 for exactly one input combination. POS is the product (AND) of such maxterms.
Minterm: an AND (product) term that evaluates to 1 for exactly one input combination. SOP is the sum (OR) of such minterms.
Example: For variables A and B, the minterm for A=0, B=0 is A'B' (a product), while the corresponding maxterm is (A + B) (a sum).