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NPP               Number System, Boolean Algebra and Logic Circuits              323


                                        ) (
                       14.   Q =  ( A +  BC .  A +  B C.  )

                       15.   F =  (  BC . ( A +  B C.  )
                                        ) A +
                  Implement using Basic Gates:

                     (1)  F =  AB +.  C
                     (2)  Y =  ( AB +  .  C .  )
                                     ) (A C+

                                   ) (A +
                     (3)  F =  ( A +  B .  ) B
                     (4)  Y =  A B +.  AB.

                     (5)  F =  AB +  CD +  BC

                     (6)  Y =  A B C + ..  A BC +  ABC

                     (7)  Y = (A + B + C + NPP      ) (A.  + B + C + D )
                                           +
                                       ) (A.
                                      D
                                                  D
                                               C +
                                            B +
                     (8)  F =  A B AB+ .  + .  A B.
                     (9)  Q =  ( A +  B .  B )
                                   ) ( A +
                    (10)  F =  A +  B +  AB.
                    (11)  Y =  PQ +  P R +  P Q.

                    (12)  Y =  AB +.  A B.


                    (13)  F =  A BC + ..  A B C +  . .  A BC..

                  Find the expression for Y.  Y

                                      A

                                      B
                  (1)                                                                   Y
                                      C

                                            A

                                            B
                  (2)
                                                                                  Y
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