Для перевода восьмеричного числа 0210201101221122021200010201001012100211102101111221110211221212202201210020102201112102000212120121022111211102002120021101020122000021101222020210211121210120220200202001202 в десятичное необходимо записать его в виде многочлена, состоящего из произведений цифр вида:
A8 = an-1 ∙ 8n-1 + an-2 ∙ 8n-2 + ∙∙∙ + a0 ∙ 80
В результате преобразований получим:
02102011012211220212000102010010121002111021011112211102112212122022012100201022011121020002121201210221112111020021200211010201220000211012220202102111212101202202002020012028=0 ∙ 8174 + 2 ∙ 8173 + 1 ∙ 8172 + 0 ∙ 8171 + 2 ∙ 8170 + 0 ∙ 8169 + 1 ∙ 8168 + 1 ∙ 8167 + 0 ∙ 8166 + 1 ∙ 8165 + 2 ∙ 8164 + 2 ∙ 8163 + 1 ∙ 8162 + 1 ∙ 8161 + 2 ∙ 8160 + 2 ∙ 8159 + 0 ∙ 8158 + 2 ∙ 8157 + 1 ∙ 8156 + 2 ∙ 8155 + 0 ∙ 8154 + 0 ∙ 8153 + 0 ∙ 8152 + 1 ∙ 8151 + 0 ∙ 8150 + 2 ∙ 8149 + 0 ∙ 8148 + 1 ∙ 8147 + 0 ∙ 8146 + 0 ∙ 8145 + 1 ∙ 8144 + 0 ∙ 8143 + 1 ∙ 8142 + 2 ∙ 8141 + 1 ∙ 8140 + 0 ∙ 8139 + 0 ∙ 8138 + 2 ∙ 8137 + 1 ∙ 8136 + 1 ∙ 8135 + 1 ∙ 8134 + 0 ∙ 8133 + 2 ∙ 8132 + 1 ∙ 8131 + 0 ∙ 8130 + 1 ∙ 8129 + 1 ∙ 8128 + 1 ∙ 8127 + 1 ∙ 8126 + 2 ∙ 8125 + 2 ∙ 8124 + 1 ∙ 8123 + 1 ∙ 8122 + 1 ∙ 8121 + 0 ∙ 8120 + 2 ∙ 8119 + 1 ∙ 8118 + 1 ∙ 8117 + 2 ∙ 8116 + 2 ∙ 8115 + 1 ∙ 8114 + 2 ∙ 8113 + 1 ∙ 8112 + 2 ∙ 8111 + 2 ∙ 8110 + 0 ∙ 8109 + 2 ∙ 8108 + 2 ∙ 8107 + 0 ∙ 8106 + 1 ∙ 8105 + 2 ∙ 8104 + 1 ∙ 8103 + 0 ∙ 8102 + 0 ∙ 8101 + 2 ∙ 8100 + 0 ∙ 899 + 1 ∙ 898 + 0 ∙ 897 + 2 ∙ 896 + 2 ∙ 895 + 0 ∙ 894 + 1 ∙ 893 + 1 ∙ 892 + 1 ∙ 891 + 2 ∙ 890 + 1 ∙ 889 + 0 ∙ 888 + 2 ∙ 887 + 0 ∙ 886 + 0 ∙ 885 + 0 ∙ 884 + 2 ∙ 883 + 1 ∙ 882 + 2 ∙ 881 + 1 ∙ 880 + 2 ∙ 879 + 0 ∙ 878 + 1 ∙ 877 + 2 ∙ 876 + 1 ∙ 875 + 0 ∙ 874 + 2 ∙ 873 + 2 ∙ 872 + 1 ∙ 871 + 1 ∙ 870 + 1 ∙ 869 + 2 ∙ 868 + 1 ∙ 867 + 1 ∙ 866 + 1 ∙ 865 + 0 ∙ 864 + 2 ∙ 863 + 0 ∙ 862 + 0 ∙ 861 + 2 ∙ 860 + 1 ∙ 859 + 2 ∙ 858 + 0 ∙ 857 + 0 ∙ 856 + 2 ∙ 855 + 1 ∙ 854 + 1 ∙ 853 + 0 ∙ 852 + 1 ∙ 851 + 0 ∙ 850 + 2 ∙ 849 + 0 ∙ 848 + 1 ∙ 847 + 2 ∙ 846 + 2 ∙ 845 + 0 ∙ 844 + 0 ∙ 843 + 0 ∙ 842 + 0 ∙ 841 + 2 ∙ 840 + 1 ∙ 839 + 1 ∙ 838 + 0 ∙ 837 + 1 ∙ 836 + 2 ∙ 835 + 2 ∙ 834 + 2 ∙ 833 + 0 ∙ 832 + 2 ∙ 831 + 0 ∙ 830 + 2 ∙ 829 + 1 ∙ 828 + 0 ∙ 827 + 2 ∙ 826 + 1 ∙ 825 + 1 ∙ 824 + 1 ∙ 823 + 2 ∙ 822 + 1 ∙ 821 + 2 ∙ 820 + 1 ∙ 819 + 0 ∙ 818 + 1 ∙ 817 + 2 ∙ 816 + 0 ∙ 815 + 2 ∙ 814 + 2 ∙ 813 + 0 ∙ 812 + 2 ∙ 811 + 0 ∙ 810 + 0 ∙ 89 + 2 ∙ 88 + 0 ∙ 87 + 2 ∙ 86 + 0 ∙ 85 + 0 ∙ 84 + 1 ∙ 83 + 2 ∙ 82 + 0 ∙ 81 + 2 ∙ 80 = 0 ∙ 1.3729595320261E+157 + 2 ∙ 1.7161994150327E+156 + 1 ∙ 2.1452492687908E+155 + 0 ∙ 2.6815615859885E+154 + 2 ∙ 3.3519519824856E+153 + 0 ∙ 4.1899399781071E+152 + 1 ∙ 5.2374249726338E+151 + 1 ∙ 6.5467812157923E+150 + 0 ∙ 8.1834765197404E+149 + 1 ∙ 1.0229345649675E+149 + 2 ∙ 1.2786682062094E+148 + 2 ∙ 1.5983352577618E+147 + 1 ∙ 1.9979190722022E+146 + 1 ∙ 2.4973988402528E+145 + 2 ∙ 3.121748550316E+144 + 2 ∙ 3.902185687895E+143 + 0 ∙ 4.8777321098687E+142 + 2 ∙ 6.0971651373359E+141 + 1 ∙ 7.6214564216699E+140 + 2 ∙ 9.5268205270874E+139 + 0 ∙ 1.1908525658859E+139 + 0 ∙ 1.4885657073574E+138 + 0 ∙ 1.8607071341968E+137 + 1 ∙ 2.3258839177459E+136 + 0 ∙ 2.9073548971824E+135 + 2 ∙ 3.634193621478E+134 + 0 ∙ 4.5427420268475E+133 + 1 ∙ 5.6784275335594E+132 + 0 ∙ 7.0980344169493E+131 + 0 ∙ 8.8725430211866E+130 + 1 ∙ 1.1090678776483E+130 + 0 ∙ 1.3863348470604E+129 + 1 ∙ 1.7329185588255E+128 + 2 ∙ 2.1661481985319E+127 + 1 ∙ 2.7076852481649E+126 + 0 ∙ 3.3846065602061E+125 + 0 ∙ 4.2307582002576E+124 + 2 ∙ 5.288447750322E+123 + 1 ∙ 6.6105596879025E+122 + 1 ∙ 8.2631996098781E+121 + 1 ∙ 1.0328999512348E+121 + 0 ∙ 1.2911249390435E+120 + 2 ∙ 1.6139061738043E+119 + 1 ∙ 2.0173827172554E+118 + 0 ∙ 2.5217283965692E+117 + 1 ∙ 3.1521604957116E+116 + 1 ∙ 3.9402006196394E+115 + 1 ∙ 4.9252507745493E+114 + 1 ∙ 6.1565634681866E+113 + 2 ∙ 7.6957043352333E+112 + 2 ∙ 9.6196304190416E+111 + 1 ∙ 1.2024538023802E+111 + 1 ∙ 1.5030672529753E+110 + 1 ∙ 1.8788340662191E+109 + 0 ∙ 2.3485425827738E+108 + 2 ∙ 2.9356782284673E+107 + 1 ∙ 3.6695977855841E+106 + 1 ∙ 4.5869972319801E+105 + 2 ∙ 5.7337465399752E+104 + 2 ∙ 7.167183174969E+103 + 1 ∙ 8.9589789687112E+102 + 2 ∙ 1.1198723710889E+102 + 1 ∙ 1.3998404638611E+101 + 2 ∙ 1.7498005798264E+100 + 2 ∙ 2.187250724783E+99 + 0 ∙ 2.7340634059788E+98 + 2 ∙ 3.4175792574735E+97 + 2 ∙ 4.2719740718418E+96 + 0 ∙ 5.3399675898023E+95 + 1 ∙ 6.6749594872528E+94 + 2 ∙ 8.3436993590661E+93 + 1 ∙ 1.0429624198833E+93 + 0 ∙ 1.3037030248541E+92 + 0 ∙ 1.6296287810676E+91 + 2 ∙ 2.0370359763345E+90 + 0 ∙ 2.5462949704181E+89 + 1 ∙ 3.1828687130226E+88 + 0 ∙ 3.9785858912783E+87 + 2 ∙ 4.9732323640979E+86 + 2 ∙ 6.2165404551223E+85 + 0 ∙ 7.7706755689029E+84 + 1 ∙ 9.7133444611286E+83 + 1 ∙ 1.2141680576411E+83 + 1 ∙ 1.5177100720514E+82 + 2 ∙ 1.8971375900642E+81 + 1 ∙ 2.3714219875802E+80 + 0 ∙ 2.9642774844753E+79 + 2 ∙ 3.7053468555941E+78 + 0 ∙ 4.6316835694926E+77 + 0 ∙ 5.7896044618658E+76 + 0 ∙ 7.2370055773323E+75 + 2 ∙ 9.0462569716653E+74 + 1 ∙ 1.1307821214582E+74 + 2 ∙ 1.4134776518227E+73 + 1 ∙ 1.7668470647784E+72 + 2 ∙ 2.208558830973E+71 + 0 ∙ 2.7606985387162E+70 + 1 ∙ 3.4508731733953E+69 + 2 ∙ 4.3135914667441E+68 + 1 ∙ 5.3919893334301E+67 + 0 ∙ 6.7399866667877E+66 + 2 ∙ 8.4249833334846E+65 + 2 ∙ 1.0531229166856E+65 + 1 ∙ 1.316403645857E+64 + 1 ∙ 1.6455045573212E+63 + 1 ∙ 2.0568806966515E+62 + 2 ∙ 2.5711008708144E+61 + 1 ∙ 3.213876088518E+60 + 1 ∙ 4.0173451106475E+59 + 1 ∙ 5.0216813883093E+58 + 0 ∙ 6.2771017353867E+57 + 2 ∙ 7.8463771692334E+56 + 0 ∙ 9.8079714615417E+55 + 0 ∙ 1.2259964326927E+55 + 2 ∙ 1.5324955408659E+54 + 1 ∙ 1.9156194260824E+53 + 2 ∙ 2.394524282603E+52 + 0 ∙ 2.9931553532537E+51 + 0 ∙ 3.7414441915671E+50 + 2 ∙ 4.6768052394589E+49 + 1 ∙ 5.8460065493236E+48 + 1 ∙ 7.3075081866545E+47 + 0 ∙ 9.1343852333181E+46 + 1 ∙ 1.1417981541648E+46 + 0 ∙ 1.427247692706E+45 + 2 ∙ 1.7840596158824E+44 + 0 ∙ 2.2300745198531E+43 + 1 ∙ 2.7875931498163E+42 + 2 ∙ 3.4844914372704E+41 + 2 ∙ 4.355614296588E+40 + 0 ∙ 5.444517870735E+39 + 0 ∙ 6.8056473384188E+38 + 0 ∙ 8.5070591730235E+37 + 0 ∙ 1.0633823966279E+37 + 2 ∙ 1.3292279957849E+36 + 1 ∙ 1.6615349947311E+35 + 1 ∙ 2.0769187434139E+34 + 0 ∙ 2.5961484292674E+33 + 1 ∙ 3.2451855365843E+32 + 2 ∙ 4.0564819207303E+31 + 2 ∙ 5.0706024009129E+30 + 2 ∙ 6.3382530011411E+29 + 0 ∙ 7.9228162514264E+28 + 2 ∙ 9.903520314283E+27 + 0 ∙ 1.2379400392854E+27 + 2 ∙ 1.5474250491067E+26 + 1 ∙ 1.9342813113834E+25 + 0 ∙ 2.4178516392293E+24 + 2 ∙ 3.0223145490366E+23 + 1 ∙ 3.7778931862957E+22 + 1 ∙ 4.7223664828696E+21 + 1 ∙ 5.9029581035871E+20 + 2 ∙ 7.3786976294838E+19 + 1 ∙ 9.2233720368548E+18 + 2 ∙ 1152921504606846976 + 1 ∙ 144115188075855872 + 0 ∙ 18014398509481984 + 1 ∙ 2251799813685248 + 2 ∙ 281474976710656 + 0 ∙ 35184372088832 + 2 ∙ 4398046511104 + 2 ∙ 549755813888 + 0 ∙ 68719476736 + 2 ∙ 8589934592 + 0 ∙ 1073741824 + 0 ∙ 134217728 + 2 ∙ 16777216 + 0 ∙ 2097152 + 2 ∙ 262144 + 0 ∙ 32768 + 0 ∙ 4096 + 1 ∙ 512 + 2 ∙ 64 + 0 ∙ 8 + 2 ∙ 1 = 0 + 3.4323988300653E+156 + 2.1452492687908E+155 + 0 + 6.7039039649713E+153 + 0 + 5.2374249726338E+151 + 6.5467812157923E+150 + 0 + 1.0229345649675E+149 + 2.5573364124189E+148 + 3.1966705155236E+147 + 1.9979190722022E+146 + 2.4973988402528E+145 + 6.243497100632E+144 + 7.80437137579E+143 + 0 + 1.2194330274672E+142 + 7.6214564216699E+140 + 1.9053641054175E+140 + 0 + 0 + 0 + 2.3258839177459E+136 + 0 + 7.2683872429561E+134 + 0 + 5.6784275335594E+132 + 0 + 0 + 1.1090678776483E+130 + 0 + 1.7329185588255E+128 + 4.3322963970638E+127 + 2.7076852481649E+126 + 0 + 0 + 1.0576895500644E+124 + 6.6105596879025E+122 + 8.2631996098781E+121 + 1.0328999512348E+121 + 0 + 3.2278123476086E+119 + 2.0173827172554E+118 + 0 + 3.1521604957116E+116 + 3.9402006196394E+115 + 4.9252507745493E+114 + 6.1565634681866E+113 + 1.5391408670467E+113 + 1.9239260838083E+112 + 1.2024538023802E+111 + 1.5030672529753E+110 + 1.8788340662191E+109 + 0 + 5.8713564569346E+107 + 3.6695977855841E+106 + 4.5869972319801E+105 + 1.146749307995E+105 + 1.4334366349938E+104 + 8.9589789687112E+102 + 2.2397447421778E+102 + 1.3998404638611E+101 + 3.4996011596528E+100 + 4.374501449566E+99 + 0 + 6.8351585149469E+97 + 8.5439481436836E+96 + 0 + 6.6749594872528E+94 + 1.6687398718132E+94 + 1.0429624198833E+93 + 0 + 0 + 4.074071952669E+90 + 0 + 3.1828687130226E+88 + 0 + 9.9464647281957E+86 + 1.2433080910245E+86 + 0 + 9.7133444611286E+83 + 1.2141680576411E+83 + 1.5177100720514E+82 + 3.7942751801284E+81 + 2.3714219875802E+80 + 0 + 7.4106937111882E+78 + 0 + 0 + 0 + 1.8092513943331E+75 + 1.1307821214582E+74 + 2.8269553036454E+73 + 1.7668470647784E+72 + 4.417117661946E+71 + 0 + 3.4508731733953E+69 + 8.6271829334882E+68 + 5.3919893334301E+67 + 0 + 1.6849966666969E+66 + 2.1062458333711E+65 + 1.316403645857E+64 + 1.6455045573212E+63 + 2.0568806966515E+62 + 5.1422017416288E+61 + 3.213876088518E+60 + 4.0173451106475E+59 + 5.0216813883093E+58 + 0 + 1.5692754338467E+57 + 0 + 0 + 3.0649910817318E+54 + 1.9156194260824E+53 + 4.7890485652059E+52 + 0 + 0 + 9.3536104789178E+49 + 5.8460065493236E+48 + 7.3075081866545E+47 + 0 + 1.1417981541648E+46 + 0 + 3.5681192317649E+44 + 0 + 2.7875931498163E+42 + 6.9689828745408E+41 + 8.711228593176E+40 + 0 + 0 + 0 + 0 + 2.6584559915698E+36 + 1.6615349947311E+35 + 2.0769187434139E+34 + 0 + 3.2451855365843E+32 + 8.1129638414607E+31 + 1.0141204801826E+31 + 1.2676506002282E+30 + 0 + 1.9807040628566E+28 + 0 + 3.0948500982135E+26 + 1.9342813113834E+25 + 0 + 6.0446290980731E+23 + 3.7778931862957E+22 + 4.7223664828696E+21 + 5.9029581035871E+20 + 1.4757395258968E+20 + 9.2233720368548E+18 + 2305843009213693952 + 144115188075855872 + 0 + 2251799813685248 + 562949953421312 + 0 + 8796093022208 + 1099511627776 + 0 + 17179869184 + 0 + 0 + 33554432 + 0 + 524288 + 0 + 0 + 512 + 128 + 0 + 2 = 3.6536867132356E+15610
Таким образом:
02102011012211220212000102010010121002111021011112211102112212122022012100201022011121020002121201210221112111020021200211010201220000211012220202102111212101202202002020012028 = 3.6536867132356E+15610.