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                  NPP               Number System, Boolean Algebra and Logic Circuits              177


                      (c) Q =  (A B. A B+  ) (  +  )

                                    A
                                    B                         (A + B)


                                                                               .
                                                                          (A + B) (A + B)
                                                               (A + B)


                      (d) F = AB + BC + CA

                                          A    B     C







                                                                          AB + BC
                                                                          + CA






                       Problem 3.29                                 àíZ 3.29

                      Implement using Basic Gates:                {ZåZ H$mo _yb^yV JoQ>m| go ~ZmAmo…
                                             Y =  ABC +  ABC +  A B C + ..  AB C
                  Solution:                                   hc:

                  A             B            C

                          A             B             C
                                                              ABC


                                                              ABC


                                                             ABC                Y =
                                                                            ABC +  A BC +  A.B.C +  A BC

                                                              ABC
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