Page 84 - Computer Science Class 11 Without Functions
P. 84

4.  Draw the logic circuit for the given expression:
              Y = (UV' + U'W')
         Ans:
                                         U
                                          V
                                                                              Y


                                         W

           5.  State De Morgan's laws.
         Ans:  DeMorgan's laws state that ∀ a, b ∈ S, where S = {0, 1}
              (i)  (a + b)' = a' ● b'
              (ii)  (a ● b)' = a' + b'

           6.  Draw the logic diagram for XOR and X-NOR gates
         Ans:  XOR Gate






              X-NOR Gate






           7.  Draw the circuit diagrams for the following Boolean expressions using NAND gates only.
              (i)  Z  = A(B + C)
                  1
               (ii)  Z = AB' + BC'
                  2
         Ans:         Z  = A (B + C)                                           Z  = AB + BC
                             1
                                                                                2
              A                                                       A
                                                                                                               Z 2
               B                                                Z 1   B



              C                                                       C

           8.  Write the Sum of Product (SOP) form of the function F for the following truth table representation of F:
                                                                                                         [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




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