2. .
, , , .
, 0, : ..., q, qv..., q,.... .
, ( , ).
, , : ( , ); ; . .
10, , , ( 0 - 1). , : 0, 1, 2, 3, 4.
10 < < 37 , .
, 36, .
, , :
q = 10: | ai = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 | |
q = 8: | ai = 0, 1, 2, 3, 4, 5, 6, 7; | |
q = 2: | ai = 0, 1; | |
q = 16: | ai = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, | A, , C, D, E, F; |
: | 10, 11, 12, 13, 14, 15 |
, .
q , . A :
Aq = an-1 qn-1 +... + a1 q1 + a0 q0 + a-1 q-1 + a-2 q-2 +... + a-m q-m
, , 10, . , 1 0 - , .
1.
A8 = 132; A10 =?;
A10 = 1328 = (1 82 + 3 81 + 2 80)10 = (64 + 24 + 2)10 = 9010.
2.
A2 = 100110; A10 =?;
|
|
A10 = 1001102 = (1 25 + 1 22 + 1 21)10 = (32 + 4 + 2)10 = 3810.
3.
A16 = A9; A10 =?;
A10 = A916 = (10 161 + 9 160)10 = (160 + 9)10 = 16910.
4.
A8 = 0,24; A10 =?;
A10 = 0,248 = (2 8-1 + 4 8-2)10 = 0,312510.
5.
A2 = 0,101; A10 =?;
A10 = 0,1012 = (1 2-1 + 1 2-3)10 = 0,62510.
6.
A16 = 0,C; A10 =?;
A10 = 0,C16 = (12 16-1) 10 = 0,7510.