Page 300 - FUNDAMENTALS OF COMPUTER
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                   300                         Fundamentals of Computers                           NPP


                      The circuit shown in the dotted box can be  ~m°Šg _| Omo n[anW ~Zm`m J`m h¡ Cgo EH$ hr JoQ>
                  considered as a single gate whose inputs are A  _mZm Om gH$Vm h¡ {Og_|  A VWm  B BZnwQ> XoZo na
                  and B, and  the output is  A+ B . This Gate is  AmCQ>nwQ>  A+    {_boŸ& BgH$m Zm_  NOR JoQ> Bg
                                                                         B
                  called NOR gate due to following equation:
                                                              àH$ma go n‹S>m …
                                                    NOT + OR = NOR
                      The symbol for NOR gate can be drawn as:    NOR  JoQ>  H$m g§Ho$V Bg  Vah  go ~Zm`m Om
                                                              gH$Vm h¡…
                                            A
                                                                             A+B
                                            B

                      The small circle at the output side called a  AmCQ>nwQ> _| Omo N>moQ>m-gm d¥Îm h¡, dh NOT {H«$`m
                  bubble, shows NOT operation. The truth table  H$mo Xem©Vm h¡Ÿ& Xmo-BZnwQ>m| dmbo  NOR JoQ> H$s gË`-
                  for two-input NOR Gate can be drawn as :    Vm{bH$m H$mo Bg Vah go ~Zm`m Om gH$Vm h¡Ÿ:

                                                  A         B        Y=A+B

                                                  0         0           1
                                                  0         1           0

                                                  1         0           0
                                                  1         1           0
                      The truth table shows that the output of    gË`-Vm{bH$m go ñnîQ>  h¡ {H$  NOR  JoQ> H$m
                  NOR gate  is  1, only  when all  the inputs are  AmCQ>nwQ> 1 V^r hmoJm O~ BgHo$ gmao BZnwQ> eyÝ` hm|JoŸ&
                  Zero. The NOR gate  is also  a binary  gate,  NOR JoQ> Ho$ ^r H$_ go H$_ Xmo BZnwQ> hmoZm Oê$ar h¡,
                  because it  must have atleast two inputs. The  Bgr{bE Bgo ~mBZar JoQ> H$hVo h¢Ÿ& VrZ BZnwQ>m| dmbo
                  symbol and expression for 3-input NOR gate  NOR JoQ> H$m g§Ho$V d ì`§OH$ Bg àH$ma go {bIm Om
                  are shown below :
                                                              gH$Vm h¡ …

                                             A
                                             B
                                             C                       Y = A+B+C

                   XOR Gate (Exclusive OR Gate)                EŠñŠcy{Od OR JoQ>

                      In XOR Gate the output is one when          `h dh JoQ> hmoVm h¡ {OgHo$ BZnwQ> _| `{X 1 H$s
                  number of ones in the input side is odd. And  g§»`m {df_ h¡ Vmo AmCQ>nwQ> 1 hmoVm h¡ AÝ`Wm 0 hmoVm
                  the output  is Zero  when number  of  ones is
                  even. Using this property  we  can draw the  h¡Ÿ& Bgr Ho$ AmYma na XOR JoQ> H$s gË`-Vm{bH$m ~ZmB©
                  truth table for 2-input X-OR gate. The symbol  Om gH$Vr h¡ …
                  of XOR gate is also shown below :
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