This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from hexadecimal to binary like this:
FFFFFFFFFFFFFFFFFF16 = F F F F F F F F F F F F F F F F F F = F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) F(=1111) = 1111111111111111111111111111111111111111111111111111111111111111111111112
answer: FFFFFFFFFFFFFFFFFF16 = 1111111111111111111111111111111111111111111111111111111111111111111111112
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙1617+15∙1616+15∙1615+15∙1614+15∙1613+15∙1612+15∙1611+15∙1610+15∙169+15∙168+15∙167+15∙166+15∙165+15∙164+15∙163+15∙162+15∙161+15∙160 = 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 = 4.4272185776903E+21+2.7670116110564E+20+1.7293822569103E+19+1080863910568919040+67553994410557440+4222124650659840+263882790666240+16492674416640+1030792151040+64424509440+4026531840+251658240+15728640+983040+61440+3840+240+15 = 4.7223664828696E+2110
got It: FFFFFFFFFFFFFFFFFF16 =4.7223664828696E+2110
Translate the number 4.7223664828696E+2110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4.7223664828696E+21 | 2 | |
0 | 0 | |
0 | | |
|
the result of the conversion was:
4.7223664828696E+2110 = 002
answer: FFFFFFFFFFFFFFFFFF16 = 002