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:
6acdfa9516 = 6 a c d f a 9 5 = 6(=0110) a(=1010) c(=1100) d(=1101) f(=1111) a(=1010) 9(=1001) 5(=0101) = 11010101100110111111010100101012
answer: 6acdfa9516 = 11010101100110111111010100101012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
6∙167+10∙166+12∙165+13∙164+15∙163+10∙162+9∙161+5∙160 = 6∙268435456+10∙16777216+12∙1048576+13∙65536+15∙4096+10∙256+9∙16+5∙1 = 1610612736+167772160+12582912+851968+61440+2560+144+5 = 179188392510
got It: 6acdfa9516 =179188392510
Translate the number 179188392510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
1791883925 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-1791883924 | 895941962 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -895941962 | 447970981 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -447970980 | 223985490 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -223985490 | 111992745 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -111992744 | 55996372 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -55996372 | 27998186 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -27998186 | 13999093 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -13999092 | 6999546 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -6999546 | 3499773 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -3499772 | 1749886 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -1749886 | 874943 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -874942 | 437471 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -437470 | 218735 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -218734 | 109367 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -109366 | 54683 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -54682 | 27341 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -27340 | 13670 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -13670 | 6835 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -6834 | 3417 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 1 | -3416 | 1708 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 1 | -1708 | 854 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -854 | 427 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 0 | -426 | 213 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -212 | 106 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -106 | 53 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -52 | 26 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 1 | -26 | 13 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -12 | 6 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
179188392510 = 11010101100110111111010100101012
answer: 6acdfa9516 = 11010101100110111111010100101012