. 110,0012 = 1x22 + 1 x 21 + 0 x 20 + 0 x 2-1 + 0 x 2-2 + 1 x 2-3 = 6,12510;
A,B16 = A x 160 + B x 16-1 = 10 x 1 + 11 x 0,0625 = 10,687510.
. 10- ,
357,12(8) = 239,1563
471,47(8) =313, 6094
121,7(8) =81,875
AB,CD(16) =171,7669
C23,7F(16) =3107,496
DE,EE(16) =222, 9297
110,111(2) =6,875
001,100(2) =1, 5
11001,11(2) = 25, 75
111,011(2) = 7, 375
- :
- , []10, ( ) , ; []p ;
- () , {x}10, , , , , {}p; {}p .., ;
- () = []p, {}p.
. : 12,810 =?2. :
- : 1210 =11002;
- : 0,8 x 2 = 1,6; 0,6 x 2 = 1,2; 0,2 x 2 = 0,4; 0,4 x 2 = 0,8; 0,810 = 0,1100110...2;
- : 12,810 = 1100,1100110011...2.
. 29,2510 =?8. 1) 2910 = 358; 2) 0,2510 = 0,28; 3) 29,2510 = 35,28.
. 79,2610 =?16. : 1) 7910 = 4F16; 2) 0,2610 = 0,4016; 3) 79,2610 = 4F,416. , .
2- 8- , 2- 16- , 8- 16- , :
8- , 16- . , , ( ) .
. .
1. 2- 8- (- ):
2. 8- 2 (- ):
3. 2- 16- (- ):
|
|
4. 16- 2- (- ):
: ,
10 ->p = p ( ) = p(
p->10 p ,
AB | ||||
2E1 | ||||
CDE | ||||
54,12 | 110110,0001 | 66,0753 | 36,1 | |
127,2969 | 1111111,0100 | 177,23 | 7F,4 | |
205,6641 | 11001101,1010 | 315,524 | CD,AA | |
56,17 | 111000,0010 | 70,1270 | 38,28 |
0 + 0 = 0, 0 + 1 = 1, 1 + 0 = 1, 1 + 1 = 210 = 102 ( ).
0 0 = 0, 1 0 = 1, 1 1 = 0, 0 1 = 10 1 = 1 ( ).
0 x 0 = 0, 0 x 1 = 0, 1 x 0 = 0, 1 x 1 = 1.
0: 0 = , 1: 0 = , 0: 1 = 0, 1: 1 = 1.
, , ( 1).
= + .
.
1. 10011 ,
01100 ,
01101 ;
2. 457 ,
321 ;
3. 9 ,
57 .
: , , . ().
. ( ):