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:
f0f0f0f016 = f 0 f 0 f 0 f 0 = f(=1111) 0(=0000) f(=1111) 0(=0000) f(=1111) 0(=0000) f(=1111) 0(=0000) = 111100001111000011110000111100002
answer: f0f0f0f016 = 111100001111000011110000111100002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
15∙167+0∙166+15∙165+0∙164+15∙163+0∙162+15∙161+0∙160 = 15∙268435456+0∙16777216+15∙1048576+0∙65536+15∙4096+0∙256+15∙16+0∙1 = 4026531840+0+15728640+0+61440+0+240+0 = 404232216010
got It: f0f0f0f016 =404232216010
Translate the number 404232216010 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4042322160 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-4042322160 | 2021161080 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -2021161080 | 1010580540 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -1010580540 | 505290270 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -505290270 | 252645135 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -252645134 | 126322567 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -126322566 | 63161283 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -63161282 | 31580641 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -31580640 | 15790320 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -15790320 | 7895160 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -7895160 | 3947580 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -3947580 | 1973790 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -1973790 | 986895 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -986894 | 493447 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -493446 | 246723 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -246722 | 123361 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -123360 | 61680 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -61680 | 30840 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -30840 | 15420 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -15420 | 7710 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -7710 | 3855 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -3854 | 1927 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -1926 | 963 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -962 | 481 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 1 | -480 | 240 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 1 | -240 | 120 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -120 | 60 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -60 | 30 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -30 | 15 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -14 | 7 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -6 | 3 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | | |
|
the result of the conversion was:
404232216010 = 111100001111000011110000111100002
answer: f0f0f0f016 = 111100001111000011110000111100002