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P. 7

b.     A student is given a merit certificate if he gets a pass in all subjects or obtains an overall average
                              of 60 in his annual exam.

                               i.    Draw a logic circuit that would allow a computer to decide which students should get a merit
                                     certificate.

                                                                                                      [1 mark]
                                                            P= pass all subjects
                                                            A= overall average of 60
                                                            S=merit certificate

                                                                    P
                                                                                           S
                                                                    A



                              ii.    Produce the truth table for this circuit.
                                                                                                      [4 marks]


                                                             P    A          S
                                                             0    0          0
                                                             0    1          1
                                                             1    0          1
                                                             1    1          1


                       c.     For the following circuits, find the Boolean Expression and construct the truth table.






                                                                                               Y






                               i.    Boolean expression  Y= (A+B)’ + (AB)                      [1 mark]


                              ii.    Construct truth table.
                                                                                                      [4 marks]

                                               A  B  (A+B)  (A+B)’          AB     (A+B)’ + (AB)

                                                0   0      0        1        0            1
                                                0   1      1        0        0            0

                                                1   0      1        0        0            0
                                                1   1      1        0        1            1




                                                                                                    @bm1920
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