= 2. : 0, 1. C = Cn Cn-1 C1 C0 C-1 C-m = 2,
C = Cn× 2n +Cn-1× 2n-1 ++C1× 21 +C0× 20 +C-1× 2-1 ++C-m× 2-m
3.6. 101011,112 =1×25 + 0×24 + 1×23 + 0×22 +1×21 + 1×20 +
+1×2-1 + 1×2-2 = 32+8+2+1+0,5+0,25=43,7510.
1, 4, 8,16,... 0,5; 0,25; 0,125; 0,625;... .
. , 9, A, B, C, D, E, F. , . 2.
- | - | ||||
B | |||||
C | |||||
D | |||||
E | |||||
F |
- . , , . .
.
: , , . , , . . .
, .
, , .
1. 15 6 .
: F16+616 | : 15+6 = 2110 = 101012 = 258 = 1516. . : 101012 = 24 + 22 + 20 = 16+4+1=21, 258 = 2 . 81 + 5 . 80 = 16 + 5 = 21, 1516 = 1 . 161 + 5 . 160 = 16+5 = 21. |
2. 15, 7 3.
: F16+716+316 | : 5+7+3 = 2510 = 110012 = 318 = 1916. : 110012 = 24 + 23 + 20 = 16+8+1=25, 318 = 3 . 81 + 1 . 80 = 24 + 1 = 25, 1916 = 1 . 161 + 9 . 160 = 16+9 = 25. |
3. 141,5 59,75.
|
|
: 141,5 + 59,75 = 201,2510 = 11001001,012 = 311,28 = C9,416
. :
11001001,012 = 27 + 26 + 23 + 20 + 2-2 = 201,25
311,28 = 3 . 82 + 181 + 1 . 80 + 2 . 8-1 = 201,25
C9,416 = 12 . 161 + 9 . 160 + 4 . 16-1 = 201,25
4. 102, 108 1016
5. 1002, 1008 10016.
6. 59,75 201,25.
: 201,2510 - 59,7510 = 141,510 = 10001101,12 = 215,48 = 8D,816.
. :
10001101,12 = 27 + 23 + 22 + 20 + 2-1 = 141,5;
215,48 = 2 . 82 + 1 . 81 + 5 . 80 + 4 . 8-1 = 141,5;
8D,816 = 8 . 161 + D . 160 + 8 . 16-1 = 141,5.
, , .
, .
7. 5 6.
: 5 . 6 = 3010 = 111102 = 368.
. :
111102 = 24 + 23 + 22 + 21 = 30;
368 = 381 + 680 = 30.
8. 115 51.
: 115 . 51 = 586510 = 10110111010012 = 133518.
. :
10110111010012 = 212 + 210 + 29 + 27 + 26 + 25 + 23 + 20 = 5865;
133518 = 1 . 84 + 3 . 83 + 3 . 82 + 5 . 81 + 1 . 80 = 5865.
, . , .
9. 30 6.
: 30: 6 = 510 = 1012 = 58.
10. 5865 115.
: 133518:1638
: 5865: 115 = 5110 = 1100112 = 638.
. :
1100112 = 25 + 24 + 21 + 20 = 51; 638 = 6 . 81 + 3 . 80 = 51.
11. 35 14.
: 438: 168
: 35: 14 = 2,510 = 10,12 = 2,48.
. :
10,12 = 21 + 2 -1 = 2,5;
2,48 = 2 . 80 + 4 . 8-1 = 2,5.