(, ) .
a.
1011012=1∙25+0∙24+1∙23+1∙22+0∙21+1∙20=32+0+8+4+0+1=4410
110111012=1∙27+1∙26+0∙25+1∙24+1∙23+1∙22+0∙21+1∙20=128+64+0+16+8+4+0+1=22110
0,11012=1∙2-1+1∙2-2+0∙2-3+1∙2-4=0,5+0,25+0+0,0625=0,812510
b.
138=1∙81+3∙80=1110
71458=7∙83+1∙82+4∙81+5∙80=7∙512+64+32+5=368510
c.
1316=1∙161+3∙160=16+3=1910
DAEF16=13∙163+10∙162+14∙161+15∙160=13∙4096+10∙256+14∙16+15=5604710
0,D8D16=13∙16-1+8∙16-2+13∙16-3=13∙0,062500+8∙0,003906+13∙0,000244=0,846920010=0,8469210
.
) (.. 4 ), . 4, 4;
) .
- 100112
4, 4 . :
00112=(112)=316
100112=1316
00012=(12)=116
- 101100102
1011|00102
10112=B16
101100102=B216
00102=216
- 0,00101012
00102=102=216
0,00101012=0,2A16
10102=A16
:
) . 4 , ;
) .
- 1316
116 = 12 = 00012;
316 = 112 = 00112.
1316 = 0001|00112.
1316 = 100112
- AC16
A16=10102
C16=11002
1010|11002
AC16=101011002
- 0,2A16
216=00102
0,216=0,001010102
16=10102.
: 0,216 = 0,00101012
.
. , 8, 16, , .
|
|
- 100112
10|0112=010|0112
0102=28
0100112=238
0112=38
- 101100102
10|110|0102=010|110|0102
0102=28
1102=68
0102=28
101100102=2628
- 0,00101012
0|010|1012=000|010|1012
0002=08
0102=28
1012=58
0,00101012=0,0258
:
- 138
18=12=0012;
38=112=0112.
138 = 001|0112.
138=10112
- 1378
18=0012
38=0112
78=1112
001|011|1112=1|011|1112
138=10111112
- 0,748
78=1112
0,748=0,1111002
48=1002.
2.
10→2 | 2→10 | ||
2→16 | |||
2→8 | |||
10→8 | 8→2 | ||
8→10 | |||
8→16 | |||
10→16 | 16→2 | ||
16→8 | |||
16→10 |
. , , .
1. 15 6 .
1510+610 11112+1102 178+68
: F16+616
. :
101012 = 24 + 22 + 20 = 16+4+1=21,
258 = 2∙81 + 5∙80 = 16 + 5 = 21,
1516 = 1∙161 + 5∙160 = 16+5 = 21.
: 15+6 = 2110 = 101012 = 258 = 1516
2. 15, 7 3.
1510+710 +310 11112+1112+112 178+78+38
: F16+716+316
:
110012 = 24 + 23 + 20 = 16+8+1=25,
318 = 3*81 + 1*80 = 24 + 1 = 25,
1916 = 1*161 + 9*160 = 16+9 = 25.
: 15+7+3 = 2510 = 110012 = 318 = 1916.
1. 102, 108 1016
10212 10818 1016116
2. 1002, 1008 10016.
100212 100818 10016116
3. 59,75 201,25
201,2510 59,7510 11001001,012111011,112
311,2873,68 9,4163B,C16
: 201,2510 59,7510 = 141,510 = 10001101,12 = 215,48 = 8D,816.