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Trailing-Edge - PDP-10 Archives - decuslib20-01 - decus/20-0023/bartee.doc
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        UNIVERSITY OF WESTERN AUSTRALIA                                         
                                                                                
               COMPUTING CENTRE                                                 
        PROGRAM INFORMATION SHEET                                               
                                                                                
                  BARTEE                                                        
                                                                                
DATE:   MAY 1970                                                                
                                                                                
AUTHORS:    R.PERRY AND A.CANTONI                                               
                                                                                
DEVICES:   CDR:,UNLESS OTHERWISE ASSIGNED WHEN INPUT FILE MUST BE               
        BARTI.DAT      .                                                        
           LPT:, UNLESS OTHERWISE ASSIGNED WHEN OUTPUT FILE WILL BE             
        BARTO.DAT          .                                                    
        A VERSION IS AVAILABLE WHICH USES TTY FOR ALL INPUT AND OUTPUT          
                                                                                
SOURCE LANGUAGE:  MACRO 6                                                       
                                                                                
DESCRIPTION:  MULTIPLE INPUT/OUTPUT MINIMIZATION OF LOGIC NETWORKS BY           
        THE BARTEE,MC CLUSKEY ,QUINE , METHOD. THE METHOD IS DESCRIBED IN       
        THE FOLLOWING REFERENCES:                                               
        (1)  "THEORY AND DESIGN OF DIGITAL MACHINES", BARTEE,LEBOW,REED         
        LINCOLN LABORATORY PUBLICATION 1962.(REF U.WA.LIB. 510.7834)            
        (11)" COMPUTER DESIGN OF MULTIPLE OUTPUT,T.C.BARTEE                     
        IRE TRANS. E.C. VOL E.C.10 NO1 MARCH 1959                               
        (III) ' MINIMISATION OF BOOLEAN FUNCTIONS '                             
        E.J. MC CLUSKEY , BELL SYS. TECH. J., VOL 35,P1417-P1444. NOV. 1956     
        THIS PROGRAM ACCEPTS ,INY, THE NUMBER OF INPUT LITERALS                 
        ,OUTY, THE NUMBER OF OUTPUT LITERALS . THEN 2**INY INPUT TERMS          
        AS IN A DISJUNCTIVE NORMAL FORM ARE GENERATED SYSTEMATICALLY            
        0 TO (2**INY)-1 AND THE CORRESPONDING OUTPUT TERMS ARE ACCEPTED.        
        THE PROGRAM THEN PRODUCES A TABLE OF PRIME IMPLICANTS ,A COVERAGE       
        TABLE AND A POSSIBLE CORE SELECTION FROM THE COVERAGE TABLE.            
        THE PROGRAM MAY PROCEED TO MINIMIZE THE ASSOCIATED CONJUNCTIVE          
        NORMAL EXPRESSION .                                                     
        THE OUTPUT OF THE PRIME IMPLICANT AND COVERAGE TABLE IS                 
        OPTIONAL .                                                              
        THE PROGRAM WILL LOAD IN 2 K OF CORE BUT WILL EXPAND AUTOMATICALLY      
        IF MORE CORE IS REQUIRED . IT WILL RESET ITS CORE ALLOCATION WHEN       
        WHEN IT EXITS AND ALSO PRINT OUT THE AMOUNT OF CORE USED. ALL           
        ERROR MESSAGES ARE PUT OUT ON THE OUTPUT FILE , EXCEPT THOSE            
        THAT INDICATE THAT A DEVICE IS NOT AVAILABLE .                          
        THE ONLY RESTRICTION IS THAT INY+OUTY CANNOT EXCEED SEVENTEEN.          
                                                                                
INPUT CARDS:  ALL CARDS ARE FORMAT FREE . ( THAT IS BLANKS ARE IGNORED          
        AND LOCATION OF DATA CAN BE ANYWHERE ON A CARD).                        
CARD1:  NUMBER OF INPUT LITERALS .                                              
CARD2:  NUMBER OF OUTPUT LITERALS .                                             
CARD3:  OUTPUT TERM EXPRESSION IN BINARY . A BLANK CARD INDICATES A             
        DON'T CARE TERM ( SEE REFERENCES) . NORMALLY THE TERM IS COMPOSED       
        OF OUTY BINARY DIGITS .                                                 
CARD4 TO CARD (2**INY)+2 : THE REMAINING OUT PUT TERMS , ONE PER CARD .         
NEXT CARD: Y TO INDICATE PRIME IMPLICANT TABLE PRINTOUT IS REQUIRED.            
        BLANK OR N TO SUPPRESS.                                                 
NEXT CARD: Y TO INDICATE COVERAGE TABLE PRINTOUT IS REQUIRED.                   
        BLANK OR N TO SUPPRESS.                                                 
NEXT CARD: Y TO ENABLE PROGRAM TO PROCEED TO EVALUATE THE CONJUNCTIVE           
        MINIMAL EXPRESSION AND ASSOCIATED TABLES .                              
        BLANK OR N WILL CAUSE THE PROGRAM TO EXIT .                             
        THE FOLLOWING CARDS ARE REQUIRED ONLY IF THE PRESENT CARD               
        CONTAINS A Y .                                                          
        THUS THE FOLLOWING CARDS CONTROL THE PRINTOUT OF THE RESULTS            
        FOR A CONJUNCTIVE NORMAL FORM DESCRIPTION OF THE PROBLEM.               
NEXT CARD: Y TO INDICATE PRIME IMPLICANT TABLE PRINTOUT .                       
        BLANK OR N TO SUPPRESS.                                                 
NEXT CARD: Y TO INDICATE COVERAGE TABLE PRINTOUT.                               
        BLANK OR N TO SUPPRESS.                                                 
                                                                                
********************************************************************************
                                                                                
EXAMPLE :-                                                                      
    CARDS                   OUTPUT                                              
                                                                                
                    NUMBER OF INPUT LITERALS ?                                  
CARD1:   3         *3                                                           
                    NUMBER OF OUTPUT LITERALS ?                                 
CARD2:   3         *3                                                           
CARD3:   000       000 000                                                      
CARD4:   011       001 011                                                      
CARD5:   110       010 110                                                      
CARD6:   010       011 010                                                      
CARD7:   101       100 101                                                      
CARD8:   001       101 001                                                      
CARD9:   100       110 100                                                      
CARD10:  BLANK     111                                                          
                                                                                
                    PRIME IMPLICANT PRINTOUT ?                                  
CARD11:  Y         *Y                                                           
               [NEW PAGE]                                                       
                    PRIME IMPLICANTS                                            
                     1   001 0--                                                
                     2   010 --0                                                
                     3   100 -0-                                                
                     4   111 ---                                                
                     5   0-1 0-0                                                
                     6   -01 00-                                                
                     7   01- 0-0                                                
                     8   -10 -00                                                
                     9   10- 00-                                                
                    10   1-0 -00                                                
                    11   -11 0-0                                                
                    12   1-1 00-                                                
                    13   11- -00                                                
               [NEW PAGE]                                                       
                    A POSSIBLE CORE SELECTION IS :-                             
                    10   1-0 -00                                                
                     9   10- 00-                                                
                     7   01- 0-0                                                
                     1   001 0--                                                
                     8   -10 -00                                                
                                                                                
                     EQIVALENT BOOLEAN EXPRESSION                               
                   Z1 = BC' + AC'                                               
                   Z2 = A'B'C + A'B                                             
                   Z3 = A'B'C + AB'                                             
                                                                                
                    COVERAGE TABLE PRINTOUT ?                                   
CARD12:  Y         *Y                                                           
               [NEW PAGE]                                                       
                     COVERAGE TABLE                                             
                   001 010   1,5,                                               
                   001 001   1,6,                                               
                   010 100   2,8,                                               
                   010 010   2,7,                                               
                   011 010   5,7,11,                                            
                   100 100   3,10,                                              
                   100 001   3,9,                                               
                   101 001   6,9,12,                                            
                   110 100   8,10,13,                                           
                                                                                
                     PRODUCT OF SUMS AS WELL ?                                  
CARD13:  Y         *Y                                                           
                                                                                
                    PRIME IMPLICANT PRINTOUT ?                                  
CARD14:  Y         *Y                                                           
               [NEW PAGE]                                                       
                    PRIME IMPLICANTS                                            
                     1   000 ---                                                
                     2   111 ---                                                
                     3   00- -00                                                
                     4   0-0 00-                                                
                     5   -00 0-0                                                
                     6   -11 -0-                                                
                     7   1-1 --0                                                
                     8   11- 0--                                                
                     9   --1 -00                                                
                    10   -1- 00-                                                
                    11   1-- 0-0                                                
               [NEW PAGE]                                                       
                    A POSSIBLE CORE SELECTION IS :-                             
                    11   1-- 0-0                                                
                    10   -1- 00-                                                
                     9   --1 -00                                                
                     1   000 ---                                                
                                                                                
                     EQIVALENT BOOLEAN EXPRESSION                               
                   Z1 = (A+B+C)*(C')                                            
                   Z2 = (A+B+C)*(A')                                            
                   Z3 = (A+B+C)*(B')                                            
                                                                                
                    COVERAGE TABLE PRINTOUT ?                                   
CARD15:  Y         *Y                                                           
               [NEW PAGE]                                                       
                     COVERAGE TABLE                                             
                   000 100   1,3,                                               
                   000 010   1,5,                                               
                   000 001   1,4,                                               
                   001 100   3,9,                                               
                   010 001   4,10,                                              
                   011 100   6,9,                                               
                   011 001   6,10,                                              
                   100 010   5,11,                                              
                   101 100   7,9,                                               
                   101 010   7,11,                                              
                   110 010   8,11,                                              
                   110 001   8,10,                                              
                                                                                
                     2K OF CORE USED