ISC MCQ Boolean algebra

1. The XOR operation can be written as _____________ A. A'B+AB' C. None B. AB+A'B' 2. The XOR operator gives 0 when A. Both the inputs are same B. Both inputs are different C. None 3. The logical XNOR operation can be written as _____________ A. (A'B+AB')' B. (AB+A'B')' C. AB+AB D. None 4. Absorption law states that A. A+(B+C)=(A+B)+C B. A+AB=A and A.(A+B)=A C. A(B+C)=AB+AC 5. Demorgan's theorem states that _____ A. Product of a variable and its complement is zero. B. The complement of the sum of the variables is the same as the product of the complement of the variable and vice versa. C. Sum of variable and its complement is 1 6. The dual of (ABC+1)+(A'B'+BC) A. ((A+B+C).0). {(A'+B'). (B+C)} B. ((A+B+C)+1). {(A'+B'). (B+C)} C. ((A’.B’.C)+1). {(A.B'). (B’.C’)} D. None 7.A’BC+A’B’C+A’B’C’ The simplified form of the given expression is _____ [2] A. A’B’+A’C C. A’+B’ B. AB+AC D. None 8. Select the complement of A+(B’C+ABC) A. (A+B+A.C’)(A+B+C) C. (AB+AC)(A’+B’+C’) B. (A’B+A’C’)(A’+B’+C’) D. None 9. Select the maxterm designation of P+Q’+R’ A. M2 C. M6 B. M3 D. None 10. Select the canonical SOP of the expression A+BC A. ABC+ABC’+AB’C+AB’C’+A’BC B. A’B’C’+A’BC’+AB’C+AB’C’+ABC C. AB+AC’+A’C+AB’+BC D. None 11. Select the minterm expression from the cardinal form of boolean function F(A,B,C)=∑(5,1,3,6) A. A’B’C+ABC+AB’C+A’BC’ B. AB’C+A’B’C+A’BC+ABC’ C. ABC+A’B’C’+ABC+A’B’C’ D. None 12. Select the correct equation of Equivalence A. A<-->B=A’ B’+A’B’ C. B. A<-->B=A’.B+AB’ D. A<-->B=A’+B A<-->B=A’.B’+A.B 13. P-->Q : If You play then you will not go to a party Choose the converse of the statement . A. If You don't play then you will not go to a party B. If You play then you will go to a party C. If you play you can party also. D. If you don't go to a party then you play 14. ~A→~B is a _________ A. Tautology B. Contradiction C. Contingency D. None 15. X v ~ (Y^X) is a Tautology A. True B. False 16. If X-->Y then select its contrapositive. A. X'-->Y' B. Y-->X C. Y←→ X D. Y'--> X' 17. Select the minterm designation of ABC A. m7 B. m3 C. m6 D. None 18. Conjunction connective results in ___________if both the statements are true. A. False C. Null B. True D. Contradiction 19. The proposition used to draw a conclusion is termed as _______ A. Syllogism C. Premises B. Logic D. Tautology