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:
1110FFFE16 = 1 1 1 0 F F F E = 1(=0001) 1(=0001) 1(=0001) 0(=0000) F(=1111) F(=1111) F(=1111) E(=1110) = 100010001000011111111111111102
answer: 1110FFFE16 = 100010001000011111111111111102
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙167+1∙166+1∙165+0∙164+15∙163+15∙162+15∙161+14∙160 = 1∙268435456+1∙16777216+1∙1048576+0∙65536+15∙4096+15∙256+15∙16+14∙1 = 268435456+16777216+1048576+0+61440+3840+240+14 = 28632678210
got It: 1110FFFE16 =28632678210
Translate the number 28632678210 в binary like this:
the Integer part of the number is divided by the base of the new number system:
286326782 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-286326782 | 143163391 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -143163390 | 71581695 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | -71581694 | 35790847 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 1 | -35790846 | 17895423 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 1 | -17895422 | 8947711 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -8947710 | 4473855 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -4473854 | 2236927 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 1 | -2236926 | 1118463 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 1 | -1118462 | 559231 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -559230 | 279615 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 1 | -279614 | 139807 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 1 | -139806 | 69903 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 1 | -69902 | 34951 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -34950 | 17475 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -17474 | 8737 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 1 | -8736 | 4368 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 1 | -4368 | 2184 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -2184 | 1092 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -1092 | 546 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -546 | 273 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -272 | 136 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -136 | 68 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 0 | -68 | 34 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -34 | 17 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
28632678210 = 100010001000011111111111111102
answer: 1110FFFE16 = 100010001000011111111111111102