Truth table for the system on four NAND gates as shown in figure is

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Infinity Learn · Accepted Answer

γ$$=((A$$⋅B¯$$)$$⋅A¯$$)$$⋅$$((A$$⋅B¯$$)$$⋅B¯$$)$$¯Let $$A=0$$ & $$B=0$$                                           Let A $$=$$ $$1$$ & B $$=$$ $$0$$γ$$=((A$$⋅B¯$$)$$⋅A¯$$)$$⋅$$((A$$⋅B¯$$)$$⋅B¯$$)$$¯                    γ$$=((A$$⋅B¯$$)$$⋅A¯$$)$$⋅$$((A$$⋅B¯$$)$$⋅B¯$$)$$¯ $$=((0.0$$¯$$)$$⋅$$0$$¯$$)$$.$$((0.0$$¯$$)$$⋅$$0$$¯$$)$$¯                                   $$=((1.0$$¯$$)$$⋅$$1$$¯$$)((1.0$$¯$$)$$⋅$$0$$¯$$)$$¯ $$=(0$$¯$$.0$$¯$$)$$.(0$$¯$$.0$$¯$$)¯                                                $$=(0$$¯$$.1$$¯$$)$$.(0$$¯$$.0$$¯$$)¯ $$=(1.0$$¯$$)$$.(1.0$$¯$$)¯                                                $$=(1.1$$¯$$)$$.(1.0$$¯$$)¯ $$=(0$$¯$$)$$⋅(0$$¯$$)¯                                                     $$=(1$$¯$$)$$.(0$$¯$$)¯ $$=1.1$$¯                                                            $$=(0)$$.(1)¯ $$=1$$¯                                                              $$=0$$¯ $$=$$ $$0$$                                                             $$=$$ $$1Let$$ $$A=0$$ & $$B=1$$                                           Let A $$=$$ $$1$$ & B $$=$$ $$0$$γ$$=((A$$⋅B¯$$)$$⋅A¯$$)$$⋅$$((A$$⋅B¯$$)$$⋅B¯$$)$$¯                              γ$$=((A$$⋅B¯$$)$$⋅A¯$$)$$⋅$$((A$$⋅B¯$$)$$⋅B¯$$)$$¯ $$=(0.1$$¯$$.0$$¯$$)$$.(0$$⋅$$1$$¯$$)⋅$$1$$¯$$)$$¯                                                 $$=(1.1$$¯$$.1$$¯$$)$$.(1$$⋅$$1$$¯$$)⋅$$1$$¯$$)$$¯   $$=(0$$¯$$.0$$¯$$)$$.(0$$¯$$.1)¯¯                                                       $$=(1$$¯$$.1$$¯$$)$$.(1$$¯$$.1)¯¯    $$=(1.0$$¯$$)$$.(1.1$$¯$$)¯                                                       $$=(0.1$$¯$$)$$.(0.1$$¯$$)¯    $$=(0$$¯$$)$$.(1$$¯$$)¯                                                             $$=(0$$¯$$)$$.(0$$¯$$)¯ $$=(1)$$.(0)¯                                                             $$=1.1$$¯ $$=0$$¯                                                                    $$=1$$¯ $$=1$$                                                                    $$=0$$  $$ABt000011$$                  option $$1$$ is $$correct101110$$

Truth table for the system on four NAND gates as shown in figure is

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