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Canonical forms (Sum of Products, Product of Sums) MCQ

1. What is a Sum of Products (SOP) form?

(A) A product of AND terms


(B) A product of OR terms


(C) A sum of OR terms


(D) A sum of AND terms



2. What is a Product of Sums (POS) form?

(A) A sum of AND terms


(B) A product of AND terms


(C) A sum of OR terms


(D) A product of OR terms



3. In canonical SOP form, each product term is called a:

(A) Maxterm


(B) Literal


(C) Minterm


(D) Clause



4. In canonical POS form, each sum term is called a:

(A) Clause


(B) Minterm


(C) Literal


(D) Maxterm



5. The number of minterms for n variables is:

(A) n


(B) 2n


(C) 2ⁿ


(D) n²



6. The number of maxterms for n variables is:

(A) 2ⁿ


(B) 2n


(C) n²


(D) n



7. The SOP form is TRUE for which input combinations?

(A) Inputs giving output 0


(B) All inputs


(C) Inputs giving output 1


(D) None of the above



8. The POS form is FALSE for which input combinations?

(A) Inputs giving output 1


(B) Inputs giving output 0


(C) All inputs


(D) None of the above



9. Which canonical form uses ORed variables in each product term?

(A) Both SOP and POS


(B) POS


(C) SOP


(D) None



10. Which canonical form uses ANDed variables in each sum term?

(A) SOP


(B) POS


(C) Both SOP and POS


(D) None



11. A minterm is:

(A) Product of selected variables only


(B) Sum of all variables in true or complemented form


(C) Product of all variables in true or complemented form


(D) OR of selected variables



12. A maxterm is:

(A) Product of all variables in true or complemented form


(B) OR of selected variables only


(C) Product of selected variables only


(D) Sum of all variables in true or complemented form



13. SOP form is also called:

(A) Canonical POS


(B) Conjunctive Normal Form


(C) Disjunctive Normal Form


(D) Standard POS



14. POS form is also called:

(A) Disjunctive Normal Form


(B) SOP form


(C) Conjunctive Normal Form


(D) Standard SOP



15. How is the canonical SOP derived from a truth table?

(A) Product of maxterms corresponding to output 1


(B) Sum of maxterms corresponding to output 0


(C) Product of minterms corresponding to output 1


(D) Sum of minterms corresponding to output 1



16. How is the canonical POS derived from a truth table?

(A) Sum of minterms corresponding to output 1


(B) Product of maxterms corresponding to output 0


(C) Product of maxterms corresponding to output 1


(D) Product of maxterms corresponding to output 0



17. Which form is easier for simplification using Boolean algebra?

(A) Both equally


(B) POS


(C) SOP


(D) None



18. Which form is more convenient for NAND/NOR implementation?

(A) SOP


(B) None


(C) Both equally


(D) POS



19. For 3 variables, how many minterms exist?

(A) 3


(B) 6


(C) 9


(D) 8



20. For 3 variables, how many maxterms exist?

(A) 3


(B) 6


(C) 9


(D) 8



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