, , , . , . , , . , (), .
, . ( ).
, :
) , , .
) , .
2. A = 11, B = 15.
:
[+ A ] = 0.1011; [ A ] = 1.0101;
[+ B ] = 0.1111; [ B ] = 1.0001.
) (A > 0, B > 0):
0 0 0 0 0 | 0 1 1 1 1 | |||
[ A ] | 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 | 0 1 1 1 1 1│0 1 1 1 | 1: | |
1 1 1 0 1 | 0 1│0 1 1 | |||
1 1 1 1 0 | 1 0 1│0 1 | |||
1 1 1 1 1 | 0 1 0 1│0 | |||
[ A ] | 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 | 0 1 0 1│0 0 0 1 0 1 | 1 0: |
:
[ C ] = 20 + 22 + 25 + 27 = 1 + 4 + 32 + 128 = 165.
) (A < 0, B < 0):
0 0 0 0 0 | 1 0 0 0 1 | |||
[ A ] | 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 | 1 0 0 0 1 1│1 0 0 0 | ||
[ A ] | 1 0 1 0 1 1 1 0 1 0 1 1 1 0 1 | 1│1 0 0 0 0 1│1 0 0 | ||
1 1 1 1 0 | 1 0 1│1 0 | |||
1 1 1 1 1 | 0 1 0 1│1 | |||
[ A ] | 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 | 0 1 0 1│1 0 0 1 0 1 |
|
|
:
[ C ] = [ A ] × [ B ] = (0.010100101)2 = (165)10
5
1. A B , . (A) 16 ( 15 ), (B) 8 ( 7 ). , .
2. .
.5 1.
. , ( ) ( ). , , , , .
, , . ( ) , . , . . ( ) .
. , ( ). , . , .
(). , . , .
. , , ( ) . , , . , , . , .
|
|
, :
) () , ( ) .
) , ( ), , .. . . ( ) , () , () , , .
. ( ) . , , . , , , , , .. . , .
, , - . , +, . . ( ) , . , , , . : , , , .
. . , . ( ) ( ).
( ) ( )
. , , , . . , .
|
|
:
) │ │/│ │ < 2 n, ;
) │ A │/│ B │ < 2 n + 1, ,
n ().
, n ( n+1 ). , ( ), ( ).
:
) │ ││ │ ´ 2 n, ;
) │ ││ ││ │ ´ 2 n, .
, , . .
, , , . , ( ) . , , , , .
, , , , . , , .
:
) .
) , , ( ).
) . , +, ( ) ( ). , (, , ) ( +).
1. .
= 139, = 13.
: 10 ( 9 ), , 5 ( 4 ).
|
|
:
[+ ] = 0.010001011; [ ] = 1.101110101;
[+ ] = 0.1101; [ ] = 1.0011.
) (A > 0), (B < 0):
( ) | ( ), | |||
[ A ] | 0 0 1 0 0 | 0 1 0 1 1 | ||
[ B ] [ B ] | 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 R 1= | 1 0 0 1 1 1 1 1 1 0 1 1 1 0│0 1 1 1 0│1 | , , | |
[ B ] | 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 R 2≠ | 1 1 0│1 0 1 1 0│1 0 | ||
[ B ] | 0 0 1 0 1 1 0 0 1 1 1 1 0 0 0 R 3= | 1 0│1 0 0 1 0│1 0 1 | ||
[ B ] | 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0 R 4= | 0│1 0 1 0 0│1 0 1 1 | ||
[ B ] | 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 R5≠ | 1 0 1 1 0 1 0 1 1 0 |
[ C ] = (1.0110)2, [ C ] = (1.1010)2 = (10)10
[ R ] = (0.1001)2 = (+9)10, :
(10) ´ (13) + 9 = 139.
) (A < 0), (B > 0):
[ A ] | 1 1 0 1 1 | 1 0 1 0 1 | ||
[ B ] [ B ] R1 | 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 R 1= | 0 1 1 0 1 0 0 0 1 0 0 0 1 0│0 0 0 1 0│1 | , , | |
[ B ] R2 | 0 1 0 1 0 1 0 0 1 1 1 1 1 0 1 R 2≠ | 0 1 0│1 0 0 1 0│1 0 | ||
[ B ] R3 | 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 R 3= | 1 0│1 0 0 1 0│1 0 1 | ||
[ B ] R4 | 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 R 4= | 0│1 0 1 0 0│1 0 1 1 | ||
[ B ] R5 | 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 R5 ≠ | 1 0 1 1 0 1 0 1 1 0 |
[ C ] = (1.0110)2, [ C ] = (1.1010)2 = (10)10
[ R ] = (1.0111)2, [ R ] = (1.1001)2 = (9)10, : (10) ´ 13 + (9) = 139.
) (A < 0, B < 0):
[ A ] | 1 1 0 1 1 | 1 0 1 0 1 | ||
[ B ] R1 | 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 R 1≠ | 0 1 0 1│0 0 1 0 1│0 | ||
[ B ] R2 | 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 R 2= | 1 0 1│0 0 1 0 1│0 1 | ||
[ B ] R3 | 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 R 3≠ | 0 1│0 1 0 0 1│0 1 0 | ||
[ B ] R 4 | 0 1 0 0 0 1 0 0 1 1 1 1 0 1 1 R 4= | 1│0 1 0 0 1│0 1 0 1 | ||
[ B ] R 5 | 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 R 5≠ | 0 1 0 1 0 0 1 0 1 0 | ||
[ B ] R 6 | 1 0 0 1 1 _________ 1 0 1 1 1 | 0 1 0 1 0 | : |
|
|
[ C ] = (0.1010)2 = (+10)10 [ R ] = (1.0111)2, [ R ] = (1.1001)2 = (9)10, : 10 ´ (13) 9 = 139.
2. .
= 72, = 6.
.
[+ ] = 0.001001000; [ ] = 1.110111000;
[+ ] = 0.0110; [ ] = 1.1010.
) (A < 0), (B > 0):
[ A ] | 1 1 1 0 1 | 1 1 0 0 0 | ||
[ B ] [ B ] R 1 | 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 R 1= | 0 0 1 1 0 1 1 1 1 0 1 1 1 0│0 1 1 1 0│1 | , , | |
[ B ] R 2 | 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 R 2≠ | 1 1 0│1 0 1 1 0│1 0 | ||
[ B ] R 3 | 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 R 3= | 1 0│1 0 0 1 0│1 0 1 | ||
[ B ] R 4 | 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 R 4≠ | 0│1 0 1 0 0│1 0 1 0 | ||
[ B ] R 5 | 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 R 5= | 1 0 1 0 0 1 0 1 0 1 | ||
[1] | 0 0 0 0 0 | 1 1 1 1 1 _________ 1 0 1 0 0 | : |
[ C ] = (1.0100)2, [ C ] = (1.2100)= (12)10 .
) (A < 0, B < 0):
[ A ] | 1 1 1 0 1 | 1 1 0 0 0 | ||
[ B ] R 1 | 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 R 1≠ | 1 0 0 0│0 1 0 0 0│0 | ||
[ B ] R 2 | 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 R 2≠ | 0 0 0│0 0 0 0 0│0 1 | ||
[ B ] R3 | 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 R 3≠ | 0 0│0 1 0 0 0│0 1 0 | ||
[ B ] R4 | 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 R 4≠ | 0│0 1 0 0 0│0 1 0 1 | ||
[ B ] R5 | 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 R 5≠ | 0 1 0 1 0 0 1 0 1 1 | ||
[ B ] R6 | 0 0 1 1 0 0 0 0 0 0 | 0 1 0 1 1 | , : | |
[+1] | 0 0 0 0 0 | 0 0 0 0 1 _________ 0 1 1 0 0 | : |
[ C ] = (0.1100)2 = (+12)10 .
3. .
= 254, = 15.
.
[+ ] = 0.011111110; [ ] = 1.100000010;
[+ ] = 0.1111; [ ] = 1.0001.
) (A > 0, B > 0):
[ A ] | 0 0 1 1 1 | 1 1 1 1 0 | ||
[ B ] R 1 | 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 | 1 1 1 0│0 |
) (A > 0), (B < 0):
[ A ] | 0 0 1 1 1 | 1 1 1 1 0 | ||
[ B ] [ B ] R1 | 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 1 _________ 1 1 1 1 1 1 1 1 1 1 R 1= | 1 0 0 0 1 0 1 1 1 1 1 1 1 1│0 1 1 1 1│1 | , , | |
[ B ] R2 | 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 R 2≠ | 1 1 1│1 0 1 1 1│1 0 | ||
[ B ] R3 | 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 R 3≠ | 1 1│1 0 0 1 1│1 0 0 | ||
[ B ] R4 | 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 R 4≠ | 1│1 0 0 0 1│1 0 0 0 | ||
[ B ] R5 | 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 R 5≠ | 1 0 0 0 0 1 0 0 0 0 |
[ C ] = (1.0000)2 = (16)10 [ R ] = (0.1110)2 = (+14)10, :
(16) ´ (15) + 14 = 254.
3-, 4- 5- , , , , . , , (. ).
) (A < 0), (B > 0):
1 1 1 0 0 0 | 0 0 0 1 0 | |||
R1 | 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 R 1= | 0 1 1 1 1 1 0 0 0 1 0 0 0 1│0 0 0 0 1│1 | , , . | |
R2 | 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 R 2≠ | 0 0 1│1 0 0 0 1│1 0 | ||
R3 | 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 R 3≠ | 0 1│1 0 0 0 1│1 0 0 | ||
R4 | 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 R 4≠ | 1│1 0 0 0 1│1 0 0 0 | ||
R5 | 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 R 5≠ | 1 0 0 0 0 1 0 0 0 0 |
[ C ] = (1.0000)2 = (16)10
[ R ] = (1.0010)2, [ R ] = (14)10, : (16) ´ 15 + (14) = 254.
) (A < 0, B < 0):
[ A ] | 1 1 0 0 0 | 0 0 0 1 0 | ||
[ B ] R1 | 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 | 0 0 1 0│0 |
1. .. . : . ., 1987. 272 .
2. .. . .: - .. , 2001. 328 .
3. . .: -, 2001. 528.
4. .., .. : .1. . . : , : 2005. 253 .
5. .., .. . - - ., 2006.
1
1
A | B | A | B | A | B | |||
1. | 0,009 | 41. | 0,105 | 81. | 0,205 | |||
2. | 0,008 | 42. | 0,305 | 82. | 0,405 | |||
3. | 0,007 | 43. | 0,505 | 83. | 0,011 | |||
4. | 0,006 | 44. | 0,605 | 84. | 0,022 | |||
5. | 0,005 | 45. | 0,705 | 85. | 0,033 | |||
6. | 0,004 | 46. | 0,805 | 86. | 0,044 | |||
7. | 0,003 | 47. | 0,905 | 87. | 0,066 | |||
8. | 0,002 | 48. | 0,115 | 88. | 0,077 | |||
9. | 0,001 | 49. | 0,125 | 89. | 0,088 | |||
10. | 0,09 | 50. | 0,135 | 90. | 0,099 | |||
11. | 0,08 | 51. | 0,145 | 91. | 0,111 | |||
12. | 0,07 | 52. | 0,155 | 92. | 0,222 | |||
13. | 0,06 | 53. | 0,165 | 93. | 0,333 | |||
14. | 0,05 | 54. | 0,175 | 94. | 0,444 | |||
15. | 0,04 | 55. | 0,185 | 95. | 0,555 | |||
16. | 0,03 | 56. | 0,195 | 96. | 0,666 | |||
17. | 0,02 | 57. | 0,205 | 97. | 0,777 | |||
18. | 0,01 | 58. | 0,215 | 98. | 0,888 | |||
19. | 0,15 | 59. | 0,225 | 99. | 0,999 | |||
20. | 0,25 | 60. | 0,235 | 100. | 0,12 | |||
21. | 0,35 | 61. | 0,245 | 101. | 0,23 | |||
22. | 0,45 | 62. | 0,255 | 102. | 0,34 | |||
23. | 0,55 | 63. | 0,265 | 103. | 0,46 | |||
24. | 0,65 | 64. | 0,275 | 104. | 0,56 | |||
25. | 0,75 | 65. | 0,285 | 105. | 0,67 | |||
26. | 0,85 | 66. | 0,295 | 106. | 0,78 | |||
27. | 0,95 | 67. | 0,305 | 107. | 0,89 | |||
28. | 0,123 | 68. | 0,238 | 108. | 0,076 | |||
29. | 0,022 | 69. | 0.792 | 109. | 0.844 | |||
30. | 0.127 | 70. | 0.094 | 110. | 0.062 | |||
31. | 0.794 | 71. | 0.845 | 111. | 0.305 | |||
32. | 0.379 | 72. | 0.568 | 112. | 0.367 | |||
33. | 0.635 | 73. | 0.478 | 113. | 0.631 | |||
34. | 0.046 | 74. | 0.077 | 114. | 0.048 | |||
35. | 0.602 | 75. | 0.162 | 115. | 0.792 | |||
36. | 0.263 | 76. | 0.632 | 116. | 0.196 | |||
37. | 0.841 | 77. | 0.703 | 117. | 0.569 | |||
38. | 0.368 | 78. | 0.365 | 118. | 0.946 | |||
39. | 0.074 | 79. | 0.052 | 119. | 0.037 | |||
40. | 0.567 | 80. | 0.842 | 120. | 0.479 |
2
R | S | R | S | |||
1. | 41A40000 | BC8A0000 | 61. | 40B40000 | BF3A0000 | |
2. | C1B80000 | 3C4B0000 | 62. | C1C50000 | 3E7B0000 | |
3. | 423E5000 | BD250000 | 63. | 41D60000 | BD6C0000 | |
4. | C25C2000 | 3D1A0000 | 64. | C2E70000 | 3F9E0000 | |
5. | 4310DC00 | BE320000 | 65. | 42F8B000 | BE5F0000 | |
6. | C320FD00 | 3E5B0000 | 66. | C3A90700 | 3D4C0000 | |
7. | 419A0000 | BF680000 | 67. | 43BA0200 | BFA40000 | |
8. | C1AB0000 | 3F790000 | 68. | C0CB0000 | 3EB60000 | |
9. | 424B3000 | BC1A0000 | 69. | 40DC0000 | BDF90000 | |
10. | C23CF000 | 3C2D0000 | 70. | C1EDC000 | 3FD70000 | |
11. | 4310D500 | BD460000 | 71. | 41F68000 | BEB30000 | |
12. | C320E300 | 3D870000 | 72. | C29F4000 | 3DC50000 | |
13. | C39CE000 | 3DB40000 | 73. | 42FBD000 | BFF40000 | |
14. | 42BEC000 | BFBF0000 | 74. | C3FD0000 | 3FA10000 | |
15. | C3CFD000 | 3D8B0000 | 75. | 42FB0000 | BED60000 | |
16. | 41C0D300 | BEA80000 | 76. | C22F0000 | 3EA70000 | |
17. | C3A0B000 | 3D7B0000 | 77. | C3AA0000 | 3CEC0000 | |
18. | 43F40200 | BF1A0000 | 78. | 42B80000 | BE650000 | |
19. | 40AB0000 | BEC60000 | 79. | 434B0000 | BEAF0000 | |
20. | C2E48000 | 3DC70000 | 80. | 42ED0000 | BECD0000 | |
21. | 42F27000 | BDE30000 | 81. | B56D0000 | 435CB000 | |
22. | 41FF0000 | BE980000 | 82. | 42AE0800 | BFE70000 | |
23. | C1E08000 | 3EA70000 | 83. | C3BD0500 | 3EC80000 | |
24. | 426A7000 | BFB50000 | 84. | 43CC0700 | BDD90000 | |
25. | C2A98000 | 3F8A0000 | 85. | C0EB0000 | 3FE10000 | |
26. | 43AA0000 | BCDC0000 | 86. | 40FA0000 | BEF70000 | |
27. | C380F000 | 3C4B0000 | 87. | C119C000 | 3D780000 | |
28. | 41FC0000 | BD890000 | 88. | BFD70000 | ||
29. | C1B10000 | 3D470000 | 89. | C237A000 | 3FA50000 | |
30. | 42ABC000 | BEF60000 | 90. | BDB30000 | ||
31. | C2FF0000 | 3EA00000 | 91. | C3598400 | 3FCB0000 | |
32. | 43FA0000 | BFD50000 | 92. | C0D40000 | 3E5A0000 | |
33. | C11F0000 | 3EC70000 | 93. | 436A7600 | BDBC0000 | |
34. | C33A0000 | 3C290000 | 94. | C0780000 | 3F830000 | |
35. | 41B90000 | BE580000 | 95. | 408C0000 | BEA90000 | |
36. | 43AF0000 | BEB0000 | 96. | C19DE000 | 3DF40000 | |
37. | 43E40000 | BED00000 | 97. | 41AEC000 | BEDF0000 | |
38. | B51
: 2016-12-18; !; : 566 | : : , , . |
: 0.112 .