123. .
. , , .
(, , .) , . , , 8 (: "8 "), . : 8- (), 16- (), 32- () 64- ( ).
, . , . , . , : - b = a +(- b).
. , .
. . , 8- ().
1. , .
) 1101011; ) 101011; ) 101101; ) 1100111.
.
. . (0), - (1). , , :
+1101 | 0,0001101 |
1101 | 1,0001101 |
, . , .
0, | 0 | 0 | 0 | 1 | 1 | 0 | 1 |
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. . ( 1 0, 0 1), .
.
+11011 | 0,00011011 | 0,00011011 | , . |
11011 | 1,00011011 | 1,11100100 | , , , . |
. . .
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.
+1110 | 0,0001110 | 0,0001110 | 0,0001110 |
1110 | 1,0001110 | 1,1110001 | 1,1110010 |
2. X Y , . . . , .
) X= 11010; Y= 100111; | ) X= 11101; Y= 10011; | ) X= 111010; Y= 101111; |
) X= 101110; Y= 11101; | ) X= 1101011; Y= 1001110; | ) X= 11011; Y= 10111. |
.
, .
.
.
, . , , . , , .
. X Y :
) X= 1111 Y= 101.
, :
X= 1111 Y= 1 0 1 X+Y= 1010 | X= 0,0001111 Y= 1,1111010 1 0,0001001 +1 (X+Y)= 0,0001010 | X= 0,0001111
Y= 1,1111011
(X+Y)= 0,0001010 |
( (+) 0 ), (X+Y)=(X+Y)=(X+Y) .
) X= 101,Y= 111.
, :
X = 101 Y = 11 1 X+Y= 1100 | X= 1,1111010 Y= 1,1111000 1 1,1110010 +1 (X+Y)= 1,1110011 | X= 1,1111011
Y= 1,1111001
(X+Y)= 1,1110100 |
( 1), :
: (X+Y)=1,1110011 Þ (X+Y)=1,0001100;
: (X+Y)=1,1110100 Þ (X+Y)=1,0001011+0,0000001, (X+Y) =1,0001100.
X+Y= 1100, , .
3. X Y . . . , .
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) X= 1101101; Y= 110101; | ) X= 111101; Y= 111001; | ) X= 111010; Y= 1100111; |
) X= 11001; Y= 100011; | ) X= 10101; Y= 111010; | ) X= 1101; Y= 111011. |
.
.
, . , , "1" .
: X = 0,1011110 Y = 0,1101100 X+Y = 1,1001010 |
X Y , "1", . .
, , . :
X= Þ X = ;
X= Þ X = ;
( - " X", X=0, =1; X=1, =0).
, : "00" "+", "11" "-". (01 10), . .
. : X=101001 Y= 11010. .
- | - | - | ||
X=+0101011 Y=0011110 | X=0,0101011 Y=1,1100001 | =00,101011 Y =11,100001 | X=0,0101011 Y=1,1100010 | X =00,101011 Y =11,100010 |
:
X= 0,0101011
Y= 1,1100010
(X+Y)= 0,0001101 | X = 00,0101011
Y = 11,1100010
(X+Y) = 00,001101 |
( 00). , , (X+Y=1101).
1. X Y , . . . , .
2. Y, "11". . . , .
X Y | X Y | ||
1. | =-100101 Y=11101 | 2. | =-101101 Y=1101 |
3. | =-110101 Y=11101 | 4. | =-1101111 Y=10101 |
5. | =-1000111 Y=11101 | 6. | =-1110001 Y=10011 |
7. | =-1010001 Y=10011 | 8. | =-1000011 Y=10011 |
9. | =-1101001 Y=10111 | 10. | =-1010001 Y=1111 |
11. | =-101001 Y=10111 | 12. | =-1010111 Y=11100 |
13. | =-110101 Y=1111 | 14. | =-101111 Y=1101 |
15. | =-110101 Y=10011 | 16. | =-1001011 Y=10101 |
17. | =-100011 Y=10011 | 18. | =-1010001 Y=1011 |
19. | =-110001 Y=10111 | 20. | =-1000111 Y=11111 |
21. | =-111001 Y=1110 | 22. | =-100001 Y=1111 |
23. | =-1011101 Y=10111 | 24. | =-1111000 Y=101111 |
25. | =-1100000 Y=1111 |
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