Page 88 - Computer Science Class 11 Without Functions
P. 88

4.  Write the Sum of Product (SOP) form of the function F, represented by the following truth table:
               a.                                                                                        [AI 2013]

                                     U             V              W         F(U, V, W)
                                     0             0              0               0
                                     0             0              1               0
                                     0             1              0               1
                                     0             1              1               1
                                     1             0              0               1
                                     1             0              1               0
                                     1             1              0               0

                                     1             1              1               1
              b.                                                                                         [AI 2012]

                                     A             B              C         F(A, B, C)
                                     0             0              0               1
                                     0             0              1               0
                                     0             1              0               1
                                     0             1              1               0
                                     1             0              0               1
                                     1             0              1               0
                                     1             1              0               0

                                     1             1              1               1
           5.  Obtain the Boolean expression for the logic circuit shown below:

                            X
                            Y                                   F
               a.                                                                                     [Delhi 2013]

                            Z

                            P
                            Q                                   F
               b.                                                                                     [Delhi 2012]


                            R
                            U
                            V                                    Y
               c.                                                                                       [AI 2012]

                            W

                            P
                            Q
                                                                 F        [Delhi  2011, Delhi 2008, Delhi 2006C, AI 2007]
               d.

                            R



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