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A 3-A 0(H)  B 3-B 0(H)            A 7-A 4(H)  B 7-B 4(H)

                              \ 4        > A                     N 4       v 4

                              X\         I3                      {•^        13
               0(H)    gt                    A>B        *> gt                   A>B      (A>B)(H)
                I ^ n^ """ eq  4-bit Comparator A=B             4-bit Comparator A=B     (A=B)(H)
               A I II \                                 > eq
               0(H)    It                     A<B       *> It                   A<B      (A<B)(H)

                    FIGURE 6.30
                    A cascadable 8-bit comparator created by combining two 4-bit comparators.






               A  A     B  B          A   A    B   B          A   A    B   B           A  A     B  B
               23~ 20   23~ 20         18~ 15   18~ 15         13~ 10   13~ 10          8~ 5     8~ 5
                                                                  4

                                         A        B              A         B             A         B
              gt                 A 14- gt                  9~ gt                  A.- gt
         A                                                A
          19                                 4-bit                   4-bit
        0(H)- eq    4-bit       0(H)-                   0(H)-                   0(H)- eq     4-bit
                 Comparator              Comparator               Comparator              Comparator
              it                 o*. —It                  B 0- it                 B,- it
                                  '14
                  > = <                   > = <


                      A 3-A 0(H) B 3-B 0(H)
                         u        >u


                        A         B              A 3 A 2 A, AO B 3 B 2 B, B 0
                0(H) — gt                    -fr- gt
                            4-bit                         4-bit
                         Comparator                   Comparator
                0(H) —                          It





                                                    24-Bit Comparator
                                                         output
                    FIGURE 6.31
                    Speed-optimized series/parallel arrangement for a 24-bit comparator composed of six 4-bit compara-
                    tors.






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