Page 571 - Engineering Digital Design
P. 571

Sanity
                            1
                 \ST '°     '     '3   >2
              ABC\ 00      01    11   10
                                ®
                  a    b   (a)        (a)   ab
                  b (W      d    c     e   ;bd,i be, cd, ce
                     V_x      \

                   c   b   GD )©       e    be, ce, be
                                                                                        ST
                  d   e    ®'    c     e   ;de,| cd, ce
                        \
                      _^ \
                                ^^^
                                      ^~N
                  e  (£)    a   (*)   (e)  ;ae j
                         I          1
                              T               Rule 2
                   J abc   ae   bed bcde                     ^-^-—^              ^v^-  PiT ifST
              Rule 1 <                                                               CUT if S
                   1 Jdel  bd
                                     (a)                                 (b)
                  FIGURE 11.43
                  Application of state assignment rules 1 and 2 to the FSM of Fig. 11.42a. (a) Next state table showing
                  grouping of states (shaded areas) that satisfy rule 1, and the results of rule 2. (b) The fully documented
                  state diagram showing an optimum or near optimum set of state code assignments resulting from
                  application of rules 1 and 2 in (a).




              JBC                        \BC                        \BC
                  00    01   11   10 A \ °°        01   11   10    AX °°     01   11   10
                       S®T   ST                   ST                    ST   S+T  S-t-T  4>


                        +f                        ST                     0    T
                                                                                   *     *


                            ,BC                       \BC
                            \ 00     01   11    10    A \ 00    01    11  10



                                                                ST
                                                                             Xu
                  FIGURE 11.44
                  Next-state and output K-maps plotted from the state diagram in Fig. 11.43b assuming the use of D
                  flip-flops and showing minimum cover.




                                                                                      541
   566   567   568   569   570   571   572   573   574   575   576