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NPP










                    NPP               Number System, Boolean Algebra and Logic Circuits             185

                        This is the NAND-NAND Implementation        `h A.B H$m NAND-NAND {H«$`mÝd`Z h¡&
                    of A.B.
                         Problem 3.38                                àíZ 3.38
                        Implement the problem 3.37 with NOR-        g_ñ`m 3.37 H$mo NOR-NOR H$s ghm`Vm go
                    NOR Gates:                                  hb H$amo…

                                                 A

                                                                            A.B
                                                 B
                                                             B
                    Solution:                                   hc:
                        Now Convert  AND Gate  into bubbled         AND JoQ> H$mo ~~ëS> AND JoQ> _| n[ad{V©V H$aZo
                    AND Gate. For this, put a bubble after A and to  hoVw Ma am{e A Ho$ níMmV² EH$ NOT JoQ> VWm EH$ ~~b
                    cancel this bubble put a NOT Gate. The NOT  bJmAmo, gmW hr B Ho$ níMmV² Ho$ NOT JoQ> H$mo ~~b
                    Gate after B can be drawn as bubble.        Ho$ ê$n _| ~ZmAmo…

                                              A


                                              B                               A . B

                        Bubbled AND Gate can be replaced with       ~~ëS> AND JoQ> Ho$ ñWmZ na NOR JoQ> ~Zm gH$Vo
                    NOR Gate:                                   h¢…


                                           A

                                           B                                A . B


                        The  NOT  Gate is equivalent  to Shorted    NOT JoQ> Ho$ ñWmZ na em°Q>}S> NOR ~Zm gH$Vo h¢…
                    NOR.


                                         A

                                         B                                      A.B


                                                                          B .
                        This is NOR-NOR implementation of  .A B .    `hr A H$m NOR-NOR Bpåßb_|Q>oeZ h¡Ÿ&
                         Problem 3.39                                àíZ 3.39
                        Perform NAND-NAND implementation            {ZåZ ~y{b`Z \$bZ hoVw  NAND-NAND H$s
                    of the following Boolean function:          ghm`Vm go Vm{H©$H$ n[anW ~ZmAmo…
                                                         F = A.B + C
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