()- .
XXII | ||
0 1 2 3 4 5 6 7 8 9 | ||
10 | 7 |
-
- ()
Aq = anan-1..a1a0 = an qn + an-1 qn-1 +..a1 q1 + a0 q0
Aq -
q -
ai -
n -
m -
123,4510=100+20+3+0,4+0,05=1∙102+2∙101+3∙100+4∙10-1+5∙10-2
123,458=1∙82+2∙81+3∙80+4∙8-1+5∙8-2
q=10 | q=16 | q=12 | q=8 | q=5 | q=4 | q=2 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 1 | 1 | 1 | 1 | 1 | 1 |
2 | 2 | 2 | 2 | 2 | 2 | 10 |
3 | 3 | 3 | 3 | 3 | 3 | 11 |
4 | 4 | 4 | 4 | 4 | 10 | 100 |
5 | 5 | 5 | 5 | 10 | 11 | 101 |
6 | 6 | 6 | 6 | 11 | 12 | 110 |
7 | 7 | 7 | 7 | 12 | 13 | 111 |
8 | 8 | 8 | 10 | 13 | 20 | 1000 |
9 | 9 | 9 | 11 | 14 | 21 | 1001 |
10 | 12 | 20 | 22 | 1010 | ||
11 | 13 | 21 | 23 | 1011 | ||
12 | 10 | 14 | 22 | 30 | 1100 | |
13 | D | 11 | 15 | 23 | 31 | 1101 |
14 | E | 12 | 16 | 24 | 32 | 1110 |
15 | F | 13 | 17 | 30 | 33 | 1111 |
16 | 10 | 14 | 20 | 31 | 100 | 10000 |
.
:
1.
2. ( q>10)
3.
123,458=1∙82+2∙81+3∙80+4∙8-1+5∙8-2=64+16+3+0,5+5/64=83,57810
1BE,8416=1∙162+ B ∙161+ E ∙160+8∙16-1+4∙16-2=
=1∙162+ 11 ∙161+ 14 ∙160+8∙16-1+4∙16-2=
=256+11∙16+14∙1+0,5+0,015=446,51510
:
1) 156 = 10
2) 1506 = 10
3) 158 = 10
4) DF18 = 10
5) 116 = 10
:
1. , .
2. , , ( q>10)
|
|
3. , ,
1910 = 100112 | |
1910 = 1316 | |
20510 = CD16 |
:
1) 510= 5 = 8 = 15 = 18
2) 1510= 5 = 8 = 15 = 18
1) 15010= 5 = 8 = 15 = 18
: . , ;-)
1910 = 16 + 2 + 1 = 24 + 21 + 20=1∙24 + 0∙23 +0∙22 +1∙21 + 1∙20 =100112
. , , ( 3 2), 0.
1910 = 16 + 2 + 1 = 24 + 21 + 20= 100112
.
:
1) 1610 = 2
1) 3210 = 2
1) 16110 = 2
1) 32110 = 2
1) 60010 = 2
q=2n
1. ( ) n
2. () n , ( ) .
3. n- q=2n
.
:
1) 11101002 = 4 = 8 = 16
2) 111100002 = 4 = 8 = 16
3) 101010102 = 4 = 8 = 16
q=2n
q=2n , n- .
:
1) 32014 = 2 = 16
2) 32018 = 2 = 16
3) 320116 = 2 = 8
4) FAC16 = 2 = 8