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                  NPP               Number System, Boolean Algebra and Logic Circuits              189


                      Convert OR into Bubbled OR:                 OR JoQ> H$mo ~~ëS> OR JoQ> _| ~XbZo na…

                                             A

                                             B                         A + B

                      Replace Bubbled OR with NAND:               ~~ëS> OR Ho$ ñWmZ na NAND ~ZmZo na …

                                              A

                                                                       A+B
                                              B
                      Two NOT Gates can be replaced by shorted    XmoZm| NOT JoQ>m| Ho$ ñWmZ na shorted NAND
                  NAND:                                       ~ZmZo na:


                                            A

                                            B                             A.B

                       Problem 3.44                                àíZ 3.44
                      Draw OR using NOR:                          OR JoQ> H$mo NOR H$s ghm`Vm go ~ZmAmo:
                  Solution:                                   hc:


                                               A

                                               B                      A + B

                      Convert OR into NOR by placing a bubble     OR H$mo NOR _| ~XbZo hoVw CgHo$ AmCQ>nwQ> na
                  at the output. But to cancel this bubble put a  EH$ ~~b bJmVo h¢ Am¡a gmW hr BgHo$ loUr _| EH$ NOT
                  NOT Gate in Series:                         JoQ> bJmZm ^r Amdí`H$ hmoJm…


                                              A

                                              B                           A + B


                      Convert NOT into shorted NOR:               A~ NOT Ho$ ñWmZ na em°Q>}S> NOR ~ZmZo na…

                                          A

                                          B                                    A+B
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