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126                           CHAPTER 3 / BACKGROUND FOR DIGITAL DESIGN

























                                                                            (b)




















                                                  (c)
                    FIGURE P3.4


                         (a) Function Z(#) in Fig. P3.3a.
                        (b) Function G(H) in Problem 3.22.
                         (c) Function F(H) of Problem 3.23.

                    3.26 Reduce the following expressions to their simplest form and name the Boolean
                         laws used in each step. (Note: Follow the procedure of Examples 3.6 in Section
                         3.12.)
                         (a) ab(c + b) + ab
                        (b) (X + Y)(XZ + 7) (Hint: First use the distributive law.)
                         (c) A + AC +
                        (d) (x + y)(x
                         (e) AB + ACD + BC + AC
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