, , .. .
. , xi bi, b . :
. , .
:
,
xk ( ) b; m n .
2, 8, 10 16, , , . .1.
1.
D10 | D2 | D8 | D16 |
B | |||
C | |||
D | |||
E | |||
F | |||
, (.2).
2.
20=1 | 80=1 | 160=1 |
21=2 | 81=8 | 161=16 |
22=4 | 82=64 | 162=256 |
23=8 | 83=512 | 163=4096 |
24=16 | 84=4096 | 164=65536 |
25=32 | 85=32768 | |
26=64 | ||
27=128 | ||
28=256 | ||
29=512 | ||
210=1024 |
.
1997 10 ( )
1997 = 1103 + 9×102 +9×101 +7×100.
1997 2 ( )
1997 = 1×210 +1×29 +1×28 +1×27 +1×26 +0×25 +0×24 +1×23 +1×22 +0×21 +1×20 = 11111001101.
1997 8 ( )
1997 = 3×83 +7×82 +1×81 +5×80 = 3715.
1997 16 ( )
|
|
1997 = 7×162 +12×161 +13×160 = 7CD.
.
48, 57,511, 121. :
:
48 = 32+16=125 + 124 + 023 + 022 + 021 + 020=1100002
57 = 32+ 16+8+1 =125 + 124+ 123 + 022 + 021 + 120 = 1110012
511=256+128+32+16+8+4+2+1 = 128+127 +126+125+124 +123+ +122 +121 +120 = 1111111112
121 = 64+32+16+8+4+2+1 = 126+12 +124+ 123 + 022 + 021 + 120 = =1111012
.
48, 57,511, 121. :
48 = 681 + 020 = 608
57 = 56 + 1 = 781 + 120 = 718
511 = 448 + 56 + 7 = 781 + 781 + 780 = 7778
121 = 64 + 56 + 1 = 181 + 781 + 180 = 1718
.
48, 57,511, 121. :
48 = 3161 + 0160 = 3016
57 = 48 + 9 = 3161 + 9160 = 39 16
511 = 256 + 240 + 15 = 1162 + 15161 + 15160 = 1FF 16
121 = 112 + 9 = 7161 + 9160 = 19 16