1
                                         1   
1
2
3
4
5
6
7
8
9
10
11
12
2 = 1A.2
16 
10= 1100100.1111 2 
10= 11010.001
26.125
100.9375
1011111 01101 2=  137.32 
133.126 8= 5B.2B 16 
1011
486
5.14
10010011
101
10 
2= 110111 2 
2
10= 010010000110 8421BCD= 011110111001
10= 0101.00010100
8421BCD 
8= 95.40625
10 
   
8421BCD= 93
     
01
01
3
 
    1       
    0       
 
 
    0   
    1
3BCD 
 
13
14
15  
16
17
ABC
100
AB+BC=       0    
=       00    
=      
A+B
+B
A+C =__1__  
AA++C
 
 
AB
ABB
BA
BBA
ABC
CBA
A
ABCABC A
 
Z=ABC + A+BC
AA++BCBC++
A+C
+C
Z =
(
CBA
CBA
(
)
CA
     
 
     
 
 
   
 
18
__ AB+ABC+ A+B
F= A+B
A+B+C
AA++BB++ ++CC
AB+CD +E
F = 
C+D
D
E  
EE
19
F
CBA
CD
CDCD
F =
DCCBA
 
ABDE
ABDE
ABDE
DB
DD
C
AB
   
F A,B,C = M 1,3,4,6,7
   
 
 
PROCESS
Y=
AB
C
Y=    m 1,3,9,11,12,13,14,15
F A,B,C = m   0
   
 
0  
2 5
 
 
   
   
   
   
 
 
 
 
 
 
 
 
 
ABC
Y
Y
20
21
22
23
24 VHDL
25 VHDL
 
VHDL
26
27 VHDL
   
28 VHDL
 
 
29 VHDL
 
 
 
 
 
                                                1
                                         2   
 
6
              
11001010
30
A 14752               B 62936           C 53452        D 37481 
31
A 202            B 192            C
32
A
33
3E 16            B
         
92 
106              D
         
38
16      D
62
 
 
      A
337.2
16      B
1467.1
16       D
36
16          C
1100110111.001 2
16     C
163
637.1
3D 16   
             
C37.4
 
16 
8
E6HE6
2     
8 
8        D
8       
8       
100
             
           
 
             
             
 
7
              C
              C
              C
301
10    D
D   D 74H74H
16                              B
0
               B
10 
2        B
8              D
              D
10
10100011
100100011
A= 10.44
1010.1
12.4
100101110 2    B
166
A= 0A.8 16   
A=A= 0A.80.8
A= 20.21
A= 20
5 
5
           
           
           
9       
9       
9       
A3
000101100011 8421BCD           D
 
12F 16   C
34
A
C
35
A
36
A 76H 118D     B 76H 142D    C E6H 230D   D 74H 116D 
37
A  A=
C  A=
38
A 6         B 7        C
39
A 8
40
A 2421BCD         B
        B
41
A
B BCD
C BCD
D BCD
42
3
A 10001000      B
43
       A
44
A 15                 B 8                C
45 A 1
1
A A                 B
46
10111011         C 11101110           D 11101011 
         
1
A                   C
0                  D
           
1
7          D
             
 
8421BCD        C
8421BCD
8421
0
1=              
8                C
15              B
9
          D
3
         D
10111011
7          D
2421
           
0
 
6
 
 
1 
1 
1
4
         
BCD
BCDBCD
0~9
 
 
4
 
0
1 
10010111 8421BCD 
10010111
       
       
       
 
 
 
 
 
 
 
 
                                                1
                                         3   
A B
         
 
 
 
AA
 
         D
 
  
      B
A B
B A
       C
B
B
         D
0
A
47
 
A A
C   A
48
A A  A           B A 
ABC
49
           
A ABC            B 1+BC      C A           D
50
A
C
           
A 
)CA)(BA(
                  D
A
BA
               
 1       C
AB
A
ABD
   B
BC
AB
A
1
B
 
 0           D
 
A
BC
 
 
1BABA
 
BDA
 
51
F
(
CBA
)
A
             
 
A F A      B
F
52
ZY
XY
               
        B
A 
CBCBA
YZ
Y
YY
XY
      C
      C      C
 
F A+B+C       D
+C       D
FF
C
       D
)(
)(
)(
)()()(
ZYZYYX
(
(
 
YYX
)
(
)
         C
         C
         C
         C
         C
       D
 
53
F
FF
BA
BA
BBA B
CD
CD
CD
F =             
 
)
(
)DC
    D
DCBA
 
 
AB
DC
    B
F
CBBA
(
)(
CBA
A
54
A
C
55
A F=C       B
)
CB
CBCB
AB
                 B
                 B
                 B
                      D
                      D
                      D
)DC)(BA(
)DCC
(
        C
        C
BA
F =             
CBBA
)(
(
CBBA
)
 
 
        
 
T1.55
F=ABC        C F=AB+C        D
A   B  C F A  B  C F 
0   0  0 
0
1
0   0  1 
0   1  0 
0
0   1  1 
1
1   0  0 
1   0  1 
1   1  0 
1   1  1 
 
0
1
1
1
F =AB +BC
56
A ABC = 000         B ABC = 010          C ABC = 101      D
57
             
             
ABC
ABC
F=1
CD
F
 
ABC = 110 
F=0
   
 
                                                1
                                         4   
A A = 0 , BC = 1
58
A 1100            B
  B B = 1 C = 1
  C C = 1 D = 0       D BC = 1 D = 1 
       
l
F A,B,C,D = m 0,1,2,4,6,13
0110              D
1110 
 
1001          C
                  
A
B
C
D
59
60
A
61
 
1 
0 
1 
1
            
      B
F (A,B,C)=  m (0
      C
1 4 6)
       
      D
-
 
 
         
CABAF
        C
F
AB
AC
C     D    D
    D
F
CABA
 
F
  B
  AC
BA
ABCDEFGH
A
62
       A
63
A 13                 B 12          C
12          C
12          C
64 VHDL
8                 B
DACAB
82          C
         
1983              B
        A
65 VHDL
 
28              D
              D
              D
        
        
        
6               D
6               
6               
6               
6               D
16 
16 
5 
5 
1
1
 
 
1985                C
1985                 C 1987             
1985                
1985                
 
1987              D
            
            
1989 
 
 
 
         
         
 
       
   
        
   
        
 
 
 
 
OUT 
BUFFER 
OUT 
BUFFER 
 
 
 
         
= 
<= 
66
67
68
VHDL
IN
INOUT
IN
INOUT
VHDL
VHDL
                                                B
69
A
C
70
A   =                                                  B
=                                                   D
C  
                                        D
VHDL
 
 
 
                                                1
                                         5   
 
0 1
 
4
 
0
1
2
 
8 9
0000
G3G2G1G0 G3G2G1G0 G3G2G1G0
0000 0000 0000 
0001 0010 0100 
0011 0110 1100 
0010 0100 1000 
0110 0101 1001 
0110 0101 1001 
0110 0101 1001 
0110 0101 1001 
1110 0111 1011 
1110 0111 1011 
1110 0111 1011 
1110 0111 1011 
1110 0111 1011 
1111 1111 1010 
1111 1111 1010 
1111 1111 1010 
1111 1111 1010 
1111 1111 1010 
1101 1101 1110 
1101 1101 1110 
1101 1101 1110 
1101 1101 1110 
1101 1101 1110 
1100 1100 0110 
1100 1100 0110 
1100 1100 0110 
1100 1100 0110 
1100 1100 0110 
1000 1000 0010 
1000 1000 0010 
1000 1000 0010 
1000 1000 0010 
1000 1000 0010 
1.2-4
 
BCD
BCDBCD
3
3
3
 
1
2
3
4 G3
B3B2B1B0
B0
3
33
G3G2G1G0
B0
B1
B2
B3
B1
B2
B3
 
G0
G1
G2
0
0
0
1  
1  
1  
3
3
 
F X1 X2
Xn
BABA
A B C
 
1
2
3
3
4
5
0
3
 
                                                1
                                         6   
1
2
3
4
2
3
4
1
B=C
A+B=A+C
AB=AC
A+B=A+C   AB=AC
B=C
m115 m116
A=1
 
 
B=C
 
B C
A=0
A=0
A+B=A+C
B C
B=C
115=1110011B   116= 1110100B
 
A+B=A+C
AB=AC
A=1
 
B=C  
B=C  
B=C  
AB=AC
6
Y
BA
BC
Y
BA
BC
BCBA
CBBA
CBACBACBABA
A B C Y 
0 0 0 0 
0 0 1 0 
0 1 0 0 
0 1 0 0 
0 1 1 0 
0 1 1 0 
0 1 1 0 
0 1 1 0 
1 0 0 1 
1 0 0 1 
1 0 0 1 
1 0 0 1 
1 0 0 1 
1 0 1 1 
1 0 1 1 
1 0 1 1 
1 0 1 1 
1 0 1 1 
1 1 0 0 
1 1 0 0 
1 1 0 0 
1 1 0 0 
1 1 0 0 
1 1 1 0 
1 1 1 0 
1 1 1 0 
1 1 1 0 
1 1 1 0 
7
 
P1.7
   
B
P1.7                                                          
P1.8 
 
F
ABBABA
ABA
ABB
BABABA
 
A B F 
0 0 0 
0 1 1 
1 0 1 
1 1 0 
-
 
 
8
P1.8
 
 
                                                1
                                         7   
       
F
(
)(
CBBABA
 
)
BCACBABA
BCACBACBA
 
A     B     C 
0    0    0 
0    0    1 
0    1    0 
0    1    1 
1    0    0 
1    0    1 
1    1    0 
1    1    1 
9
L=AB+BC 
 
L
AB
BC
AB
BC
 
 
 
10
P1.10
-
 
F
0
0
0
1
1
1
0
0
 
 
Z= f A B C
 
P1.10 
 
A B C Z 
0 0 0 0 
0 0 1 1 
0 1 0 0 
0 1 1 1 
1 0 0 0 
1 0 1 0