1
. .
0 1, () q=2.
0, 1, 2, 3, 4, 5, 6, 7, q=8.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A ( 10), B (11), C (12), D(13), E (14), F (15), q=16. ( 1).
1
10- | 2- | 8- | 16- |
0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 |
2 | 10 | 2 | 2 |
3 | 11 | 3 | 3 |
4 | 100 | 4 | 4 |
5 | 101 | 5 | 5 |
6 | 110 | 6 | 6 |
7 | 111 | 7 | 7 |
8 | 1000 | 10 | 8 |
9 | 1001 | 11 | 9 |
10 | 1010 | 12 | A |
11 | 1011 | 13 | B |
12 | 1100 | 14 | C |
13 | 1101 | 15 | D |
14 | 1110 | 16 | E |
15 | 1111 | 17 | F |
16 | 10000 | 20 | 10 |
0 | 000 | 0000 |
1 | 001 | 0001 |
2 | 010 | 0010 |
3 | 011 | 0011 |
4 | 100 | 0100 |
5 | 101 | 0101 |
6 | 110 | 0110 |
7 | 111 | 0111 |
8 | 1000 | |
9 | 1001 | |
1010 | ||
b | 1011 | |
c | 1100 | |
d | 1101 | |
e | 1110 | |
f | 1111 |
, , , : 1. q (2, 8 16), , , . 2. , , ( 10). 3. , . | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
1. 2310 .
2310=101112
|
, , q , .
, , . , .
2. 0,6562510 .
0, | 65625 8 |
5, | 25000 8 |
2, | 00000 |
: 0,6562510 = 0,528
, .. , , . , . .
3. 156,35610 . 156,35610=15610+0,35610
15610 :
15610=916 | 0,35610 :
: 0,35610 0,5216. |
, 916+0,5216=9,5216. : 156,35610 9,5216
q , , , , -1. q ,
4. 10110110111,1012
9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | -1 | -2 | -3 |
1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1, | 1 | 0 | 12=1*29+0*28+1*27+1*26+0*25+1*24+1*23+0*22+1*21+ |
+1*20+1*2-1+0+2-2+1*2-3= =512+0+128+64+0+16+8+0+2+1+0,5+0+0,125=731,62510
, , , . , . , : - , . ( 1).
, , , . .
|
|
5. 1011010010111,10112
:
001 011 010 010 111,101 1002
1 3 2 2 7 5 4
1011010010111,1011002=13227,548
6. 8019,3F16
:
8 0 1 9 , 3 F16
1000 0000 0001 1010 1001 1110 0011 1111
8019,3F16=100000000001101010011110,001111112