: 10 : . : ; ; . : . 6 .; ., . . . . 7-9 , .. - 2- 7-11 ; .. 5
., 7 .; , ; 1. . - (1-2 ) 2. ( ) (10 ) 3. ( ) (20 ) 4. (10 ) 5. ,
-
, , . , , , . . ( . ) . 3 -
, . . 1.
-
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.
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2.
,
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,
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1 , , . - , - . , - . . "" . , , . . , , . , , . ? , , , . ( !),
. , , . , . , 0 1. ( . bit, binary digit ). - , 0 1 . , , - (.
byte).
-
() . - , , , , . , ( , ). , - . , , , -, , -, . . . , , , , . ,
. , , . . , . , -
, , . 1 - , , . , . . . , . . , , , . . , : , - , , - , . 16 ..
: n 2n . , 2n , n . n, , N , : 2^n = N = > i = log2N ( ). , , i=
- Pi log2 Pi = -(P1 log2 P1+ P2 log2 P 2 + ... + Pn log2 Pn), i , N
, Pi . , .
2 1. 32 . (, 15)? : 32 , : 2^x = 32. 32 = 2^5. , = 5 . , , . 2.
. ? : . : 2^ = 6. ( 3- ): = 2,585 .
3 : N N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 i 0,00000 1,00000
1,58496 2,00000 2,32193 2,58496 2,80735 3,00000 3,16993 3,32193
3,45943 3,58496 3,70044 3,80735 3,90689 4,00000 N 17 18 19 20 21 22
23 24 25 26 27 28 29 30 31 32 i 4,08746 4,16993 4,24793 4,32193
4,39232 4,45943 4,52356 4,58496 4,64386 4,70044 4,75489 4.80735
4,85798 4,90689 4,95420 5,00000 N 33 34 35 36 37 38 39 40 41 42 43
44 45 46 47 48 i 5,04439 5,08746 5,12928 5,16993 5,20945 5,24793
5,28540 5,32193 5,35755 5,39232 5,42626 5,45943 5,49185 5,52356
5,55459 5,58496 N 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 i
5,61471 5,64386 5,67243 5,70044 5,72792 5,75489 5,78136 5,80735
5,83289 5,85798 5,88264 5.90689 5,93074 5,95420 5,97728 6,00000
