, . , .. 0 1. , .
. . , , - . . .
.
- , , . - . , . III-3, I .
, , (), , 929, 9 . , . , .
() ( ) . , - 10, .. 10 (0 9) ( , ). . , 10 . , , . , 0 9 ( ).
().
n,..... a1, a0, a-1,..... -n
() , () ; 10 , - 10 . ,
|
|
an Sn+...+ a1 S1+a0S0 +a1S-1+....+anS-n
, 929
9102 +2101 +9100=900+20+9
0,52
0,52=510-1 + 210-2
, : 0 1. , . . ; , 3,3 , , , - . .. ( ), . 200 , 6 - 8 . ( ) . , ( ), .. . .
. 16 :
0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F (A-10, B-11, C-12, D-13, E-14, F-15).
- 8 10
127=1102+7101+7100
127=182+781+780 .
2, 10
124+123+022+021+120=25
n2n+...+a121+a020+a12-1+...+an2-n
, - . , , . , , .. , ..
, 769, -
769(10)=011101101001(2-10)
.
, , . , . , . ,
, . , , , . , ; .
|
|
, .
18,65(10)=10010,101(2)
, . . 4.1 0 15 ( ), .
4.1
D | |||
F |
,
().
4 | ||||||||
. ,
376(8)=382+781+680=192+56+6=254(10)
11111110(2)=l27+126+125+124+123+122+121+020=254(10)
1011011101(2)=1335(8)
0,24(8)=28-1+48-2=2/8+4/64+20/64=0,3125(10)
0,0101(2)=02-1+12-2+02-3+12-4=0,3125(10)
0,01101011011(2)=0,3266(8)
- .
- | ||||||||||
- |
934,5(10)=100100110100,0101(2-10)
9834(10)=1001100000110100(2-10)
0,3769(10)=0,00110111101101001(2-10)
10011101100111(2-10)=2767(10)
0,001110011000100(2-10) =0,3984(10)
().
3 | B | C | D | F | ||||||||||||
, ;
0+0=0 | 0-0=0 | 00=0 | 1/1=1 |
0+1=1 | 1-0=1 | 10=0 | 0/1=0 |
1+0=1 | 1-1=0 | 01=0 | 1 / 0 |
1+1=10 | 10-1=1 | 11=1 |
X | |||||||
7 | 34 |
|
|
.