Page 54 - Computer science 868 Class 12
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9. The representation of the Boolean function F(A,B) = π(1, 3) in canonical form is:         [ISC 2022]
                    (a)  (A' + B) . (A + B)                              (b)  Σ(0,2)
                    (c)  A'B + AB                                        (d)  (A + B’) . (A' + B')
                Ans. (d)
                 10. If P=1, Q=1, R=0 and S=1, then the minterm will be:                                       [ISC 2022]
                    (a)  P + Q + R' + S                                  (b)  P'Q'RS'
                    (c)  PQR'S                                           (d)  P' + Q' + R + S'
                Ans. (c)
                 11. The dual of the Boolean equation (X + Y)' + (X'.Y') + 1 = 1 is:                           [ISC 2022]
                     (a)  (X.Y)' . (X' + Y') . 0 = 0                     (b)  (X+Y)' . (X' . Y') + 1 = 1
                    (c)  (X.Y) . (X + Y) . 0 = 0                         (d)  (X.Y)' . (X' + Y') . 1 = 1
                Ans. (a)
                 12. The propositional operator ∧ represents:                                                  [ISC 2022]
                    (a)  Negation                                        (b)  Implication
                    (c)  Conjunction                                     (d)  Disjunction
                Ans. (c)
                 13. The group which eliminates the maximum variables in a Kamaugh’s map is:                   [ISC 2022]
                    (a)  Quad                                            (b)  Octet
                    (c)  Pair                                            (d)  Redundant
                Ans. (b)
                 14. The simplified expression for the Boolean expression PQ.(PQ + QR) is:                     [ISC 2022]
                    (a)  P                                               (b)  1
                    (c)  PQ                                              (d)  QR
                Ans. (c)
                 15. Given the proposition A → ∼B, find:
                    (i)  the inverse of the proposition:                                                       [ISC 2022]
                       (a)  ∼A → B                                       (b)  B → ∼A
                       (c)  ∼A → ∼B                                      (d)  ∼B → A
                Ans. (b)
                    (ii)  the contra-positive of the proposition:                                              [ISC 2022]
                       (a)  ∼A → B                                       (b)  B → ∼A
                       (c)  ∼B → A                                       (d)  ∼A → ∼B
                Ans.  (c)
                 16. The reduced expression of the Boolean function F = A(B + C(AB + AC)') is:                 [ISC 2022]
                    (a)  1                                               (b)  AB
                    (c)  0                                               (d)  A'C + AB 'C
                Ans. (c)
                 17. The proposition (P→∼Q) ∨ (∼P→Q) is a:
                    (a)  Contradiction                                   (b)  Tautology
                    (c)  Implication                                     (d)  Contingency
                Ans. (b)
                 18. Reduce  the  given  Boolean  function  F(A,B,C,D)  =  Σ(6,7,10,11,12,14,15)  by  using  4-variable  Kamaugh  map  and  answer  the
                    following questions:
                    (i)  What will be the least number of groups and its types formed for reduction?           [ISC 2022]
                       (a)  4 pairs                                      (b)  2 quads and 1 pair
                       (c)  1 quad and 2 pairs                           (d)  3 quads
                Ans. (b)
                    (ii)  What is the reduced expression of the Boolean function given above?                  [ISC 2022]
                       (a)  ABD' + ACD' + BCD' + AC'D'                   (b)  (B+C).(A+C).(A+B+D')
                       (c)  AC + ABD' + BCD"                             (d)  BC + AC + ABD'
                 Ans. (d)
                 19.  A Post Graduation College intends to offer courses in three categories of journalism which are, the print, the web and the
                    broadcasting media. A student is eligible to apply if he/she satisfies any one of the criteria given below:
                     •   The student is a graduate in any discipline with an aggregate percentage of 75 or above and with a record of literary skills.

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