Для перевода шестнадцатеричного числа fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff в десятичное необходимо записать его в виде многочлена, состоящего из произведений цифр вида:
A16 = an-1 ∙ 16n-1 + an-2 ∙ 16n-2 + ∙∙∙ + a0 ∙ 160
В результате преобразований получим:
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff16=f ∙ 16118 + f ∙ 16117 + f ∙ 16116 + f ∙ 16115 + f ∙ 16114 + f ∙ 16113 + f ∙ 16112 + f ∙ 16111 + f ∙ 16110 + f ∙ 16109 + f ∙ 16108 + f ∙ 16107 + f ∙ 16106 + f ∙ 16105 + f ∙ 16104 + f ∙ 16103 + f ∙ 16102 + f ∙ 16101 + f ∙ 16100 + f ∙ 1699 + f ∙ 1698 + f ∙ 1697 + f ∙ 1696 + f ∙ 1695 + f ∙ 1694 + f ∙ 1693 + f ∙ 1692 + f ∙ 1691 + f ∙ 1690 + f ∙ 1689 + f ∙ 1688 + f ∙ 1687 + f ∙ 1686 + f ∙ 1685 + f ∙ 1684 + f ∙ 1683 + f ∙ 1682 + f ∙ 1681 + f ∙ 1680 + f ∙ 1679 + f ∙ 1678 + f ∙ 1677 + f ∙ 1676 + f ∙ 1675 + f ∙ 1674 + f ∙ 1673 + f ∙ 1672 + f ∙ 1671 + f ∙ 1670 + f ∙ 1669 + f ∙ 1668 + f ∙ 1667 + f ∙ 1666 + f ∙ 1665 + f ∙ 1664 + f ∙ 1663 + f ∙ 1662 + f ∙ 1661 + f ∙ 1660 + f ∙ 1659 + f ∙ 1658 + f ∙ 1657 + f ∙ 1656 + f ∙ 1655 + f ∙ 1654 + f ∙ 1653 + f ∙ 1652 + f ∙ 1651 + f ∙ 1650 + f ∙ 1649 + f ∙ 1648 + f ∙ 1647 + f ∙ 1646 + f ∙ 1645 + f ∙ 1644 + f ∙ 1643 + f ∙ 1642 + f ∙ 1641 + f ∙ 1640 + f ∙ 1639 + f ∙ 1638 + f ∙ 1637 + f ∙ 1636 + f ∙ 1635 + f ∙ 1634 + f ∙ 1633 + f ∙ 1632 + f ∙ 1631 + f ∙ 1630 + f ∙ 1629 + f ∙ 1628 + f ∙ 1627 + f ∙ 1626 + f ∙ 1625 + f ∙ 1624 + f ∙ 1623 + f ∙ 1622 + f ∙ 1621 + f ∙ 1620 + f ∙ 1619 + f ∙ 1618 + f ∙ 1617 + f ∙ 1616 + f ∙ 1615 + f ∙ 1614 + f ∙ 1613 + f ∙ 1612 + f ∙ 1611 + f ∙ 1610 + f ∙ 169 + f ∙ 168 + f ∙ 167 + f ∙ 166 + f ∙ 165 + f ∙ 164 + f ∙ 163 + f ∙ 162 + f ∙ 161 + f ∙ 160 = 15 ∙ 1.2194330274672E+142 + 15 ∙ 7.6214564216699E+140 + 15 ∙ 4.7634102635437E+139 + 15 ∙ 2.9771314147148E+138 + 15 ∙ 1.8607071341968E+137 + 15 ∙ 1.162941958873E+136 + 15 ∙ 7.2683872429561E+134 + 15 ∙ 4.5427420268475E+133 + 15 ∙ 2.8392137667797E+132 + 15 ∙ 1.7745086042373E+131 + 15 ∙ 1.1090678776483E+130 + 15 ∙ 6.931674235302E+128 + 15 ∙ 4.3322963970638E+127 + 15 ∙ 2.7076852481649E+126 + 15 ∙ 1.692303280103E+125 + 15 ∙ 1.0576895500644E+124 + 15 ∙ 6.6105596879025E+122 + 15 ∙ 4.1315998049391E+121 + 15 ∙ 2.5822498780869E+120 + 15 ∙ 1.6139061738043E+119 + 15 ∙ 1.0086913586277E+118 + 15 ∙ 6.3043209914231E+116 + 15 ∙ 3.9402006196394E+115 + 15 ∙ 2.4626253872747E+114 + 15 ∙ 1.5391408670467E+113 + 15 ∙ 9.6196304190416E+111 + 15 ∙ 6.012269011901E+110 + 15 ∙ 3.7576681324381E+109 + 15 ∙ 2.3485425827738E+108 + 15 ∙ 1.4678391142336E+107 + 15 ∙ 9.1739944639603E+105 + 15 ∙ 5.7337465399752E+104 + 15 ∙ 3.5835915874845E+103 + 15 ∙ 2.2397447421778E+102 + 15 ∙ 1.3998404638611E+101 + 15 ∙ 8.749002899132E+99 + 15 ∙ 5.4681268119575E+98 + 15 ∙ 3.4175792574735E+97 + 15 ∙ 2.1359870359209E+96 + 15 ∙ 1.3349918974506E+95 + 15 ∙ 8.3436993590661E+93 + 15 ∙ 5.2148120994163E+92 + 15 ∙ 3.2592575621352E+91 + 15 ∙ 2.0370359763345E+90 + 15 ∙ 1.2731474852091E+89 + 15 ∙ 7.9571717825566E+87 + 15 ∙ 4.9732323640979E+86 + 15 ∙ 3.1082702275612E+85 + 15 ∙ 1.9426688922257E+84 + 15 ∙ 1.2141680576411E+83 + 15 ∙ 7.5885503602568E+81 + 15 ∙ 4.7428439751605E+80 + 15 ∙ 2.9642774844753E+79 + 15 ∙ 1.8526734277971E+78 + 15 ∙ 1.1579208923732E+77 + 15 ∙ 7.2370055773323E+75 + 15 ∙ 4.5231284858327E+74 + 15 ∙ 2.8269553036454E+73 + 15 ∙ 1.7668470647784E+72 + 15 ∙ 1.1042794154865E+71 + 15 ∙ 6.9017463467906E+69 + 15 ∙ 4.3135914667441E+68 + 15 ∙ 2.6959946667151E+67 + 15 ∙ 1.6849966666969E+66 + 15 ∙ 1.0531229166856E+65 + 15 ∙ 6.5820182292848E+63 + 15 ∙ 4.113761393303E+62 + 15 ∙ 2.5711008708144E+61 + 15 ∙ 1.606938044259E+60 + 15 ∙ 1.0043362776619E+59 + 15 ∙ 6.2771017353867E+57 + 15 ∙ 3.9231885846167E+56 + 15 ∙ 2.4519928653854E+55 + 15 ∙ 1.5324955408659E+54 + 15 ∙ 9.5780971304118E+52 + 15 ∙ 5.9863107065074E+51 + 15 ∙ 3.7414441915671E+50 + 15 ∙ 2.3384026197294E+49 + 15 ∙ 1.4615016373309E+48 + 15 ∙ 9.1343852333181E+46 + 15 ∙ 5.7089907708238E+45 + 15 ∙ 3.5681192317649E+44 + 15 ∙ 2.2300745198531E+43 + 15 ∙ 1.3937965749082E+42 + 15 ∙ 8.711228593176E+40 + 15 ∙ 5.444517870735E+39 + 15 ∙ 3.4028236692094E+38 + 15 ∙ 2.1267647932559E+37 + 15 ∙ 1.3292279957849E+36 + 15 ∙ 8.3076749736557E+34 + 15 ∙ 5.1922968585348E+33 + 15 ∙ 3.2451855365843E+32 + 15 ∙ 2.0282409603652E+31 + 15 ∙ 1.2676506002282E+30 + 15 ∙ 7.9228162514264E+28 + 15 ∙ 4.9517601571415E+27 + 15 ∙ 3.0948500982135E+26 + 15 ∙ 1.9342813113834E+25 + 15 ∙ 1.2089258196146E+24 + 15 ∙ 7.5557863725914E+22 + 15 ∙ 4.7223664828696E+21 + 15 ∙ 2.9514790517935E+20 + 15 ∙ 1.844674407371E+19 + 15 ∙ 1152921504606846976 + 15 ∙ 72057594037927936 + 15 ∙ 4503599627370496 + 15 ∙ 281474976710656 + 15 ∙ 17592186044416 + 15 ∙ 1099511627776 + 15 ∙ 68719476736 + 15 ∙ 4294967296 + 15 ∙ 268435456 + 15 ∙ 16777216 + 15 ∙ 1048576 + 15 ∙ 65536 + 15 ∙ 4096 + 15 ∙ 256 + 15 ∙ 16 + 15 ∙ 1 = 1.8291495412008E+143 + 1.1432184632505E+142 + 7.1451153953155E+140 + 4.4656971220722E+139 + 2.7910607012951E+138 + 1.7444129383095E+137 + 1.0902580864434E+136 + 6.8141130402713E+134 + 4.2588206501696E+133 + 2.661762906356E+132 + 1.6636018164725E+131 + 1.0397511352953E+130 + 6.4984445955957E+128 + 4.0615278722473E+127 + 2.5384549201546E+126 + 1.5865343250966E+125 + 9.9158395318537E+123 + 6.1973997074086E+122 + 3.8733748171304E+121 + 2.4208592607065E+120 + 1.5130370379415E+119 + 9.4564814871347E+117 + 5.9103009294592E+116 + 3.693938080912E+115 + 2.30871130057E+114 + 1.4429445628562E+113 + 9.0184035178515E+111 + 5.6365021986572E+110 + 3.5228138741607E+109 + 2.2017586713505E+108 + 1.376099169594E+107 + 8.6006198099628E+105 + 5.3753873812267E+104 + 3.3596171132667E+103 + 2.0997606957917E+102 + 1.3123504348698E+101 + 8.2021902179363E+99 + 5.1263688862102E+98 + 3.2039805538814E+97 + 2.0024878461759E+96 + 1.2515549038599E+95 + 7.8222181491244E+93 + 4.8888863432028E+92 + 3.0555539645017E+91 + 1.9097212278136E+90 + 1.1935757673835E+89 + 7.4598485461468E+87 + 4.6624053413417E+86 + 2.9140033383386E+85 + 1.8212520864616E+84 + 1.1382825540385E+83 + 7.1142659627407E+81 + 4.4464162267129E+80 + 2.7790101416956E+79 + 1.7368813385597E+78 + 1.0855508365998E+77 + 6.784692728749E+75 + 4.2404329554681E+74 + 2.6502705971676E+73 + 1.6564191232297E+72 + 1.0352619520186E+71 + 6.4703872001162E+69 + 4.0439920000726E+68 + 2.5274950000454E+67 + 1.5796843750284E+66 + 9.8730273439272E+64 + 6.1706420899545E+63 + 3.8566513062216E+62 + 2.4104070663885E+61 + 1.5065044164928E+60 + 9.41565260308E+58 + 5.884782876925E+57 + 3.6779892980781E+56 + 2.2987433112988E+55 + 1.4367145695618E+54 + 8.9794660597611E+52 + 5.6121662873507E+51 + 3.5076039295942E+50 + 2.1922524559964E+49 + 1.3701577849977E+48 + 8.5634861562358E+46 + 5.3521788476473E+45 + 3.3451117797796E+44 + 2.0906948623622E+43 + 1.3066842889764E+42 + 8.1667768061025E+40 + 5.1042355038141E+39 + 3.1901471898838E+38 + 1.9938419936774E+37 + 1.2461512460484E+36 + 7.7884452878022E+34 + 4.8677783048764E+33 + 3.0423614405478E+32 + 1.9014759003423E+31 + 1.188422437714E+30 + 7.4276402357123E+28 + 4.6422751473202E+27 + 2.9014219670751E+26 + 1.8133887294219E+25 + 1.1333679558887E+24 + 7.0835497243045E+22 + 4.4272185776903E+21 + 2.7670116110564E+20 + 1.7293822569103E+19 + 1080863910568919040 + 67553994410557440 + 4222124650659840 + 263882790666240 + 16492674416640 + 1030792151040 + 64424509440 + 4026531840 + 251658240 + 15728640 + 983040 + 61440 + 3840 + 240 + 15 = 1.9510928439475E+14310
Таким образом:
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff16 = 1.9510928439475E+14310.