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NPP               Number System, Boolean Algebra and Logic Circuits              183


                   3.17 NAND-NAND and NOR-NOR Imple-           3.17 Mma _hËdnyU© Vwë` (Bpåßb_|Q>oeZ)
                   mentation Four Important Concepts

                            NAND  is equivalent to       →       Bubbled OR

                               A

                               B                     A+B                             A+B


                            NOR is equivalent to         →       Bubbled AND

                               A                                A


                               B                      A . B
                                                                B                      A.B
                                  Shorted NAND  is equivalent to  → NOT

                                A     NPP

                                                         A      A                      A

                                  Shorted NOR  is equivalent to →  NOT
                                                                                       A
                                 A
                                                                 A
                                                         A

                      Note: Whenever you want to put an extra     ZmoQ>: O~ ^r h_ EH$ A{V[aº$ ~~b H$m Cn`moJ
                  bubble, put a  NOT gate in series  with the  H$aVo h¢, h_| CgHo$ gmW loUr _| EH$  NOT JoQ> ^r
                  bubble. eg.                                 bJmZm hmoVm h¡Ÿ& O¡go {ZåZ JoQ> H$mo XoImo…

                                               A
                                                                           A.B
                                               B

                      Above circuit is equivalent  to following   Cnamoº$ n[anW Ho$ AmCQ>nwQ> na EH$ ~~b VWm
                  circuit: An Inverter is put after a bubble:  CgHo$ loUr _| EH$ NOT JoQ> bJmZo go n[anW Ho$ H$m`©
                                                              na H$moB© \$H©$ Zht n‹S>oJm…

                                             A
                                                                             A.B
                                              B
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