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PROBLEMS                                                             389




                          0                            4-to-1
                              Binary-to-Gray     S 0
                          1    Converter               MUX








                                                                                          S 0(H)
                                                                                          S,(H)
                                                                                          S 2(H)
                                                                                          S 3(H)











                                                      (a)

                                           A  B              , S 0


                                           0  0
                                           0  1
                                           1  0
                                           1  1
                                                     (b)

                  FIGURE P8.3


                      To do this, list all partial products, indicate the sum and carry values at each stage,
                      and end with the final product values.
                  8.20 (a) Combine the 4 x 4 binary multiplier in Fig. 8.18 with the 8-bit binary-to-BCD
                         converter in Fig. P6.3 to produce a one-digit BCD multiplier that can be bit-
                          sliced to form an n-digit BCD multiplier. What restrictions must be placed on the
                         operands?
                      (b) Test the results of part (a) by introducing the following operands into the resulting
                         circuit of part (a):

                            Testtfl A = 0111; B = 1000
                            Test #2 A = 1001; B =0011
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