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:
10100110110116 = 1 0 1 0 0 1 1 0 1 1 0 1 = 1(=0001) 0(=0000) 1(=0001) 0(=0000) 0(=0000) 1(=0001) 1(=0001) 0(=0000) 1(=0001) 1(=0001) 0(=0000) 1(=0001) = 1000000010000000000010001000000010001000000012
answer: 10100110110116 = 1000000010000000000010001000000010001000000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙1611+0∙1610+1∙169+0∙168+0∙167+1∙166+1∙165+0∙164+1∙163+1∙162+0∙161+1∙160 = 1∙17592186044416+0∙1099511627776+1∙68719476736+0∙4294967296+0∙268435456+1∙16777216+1∙1048576+0∙65536+1∙4096+1∙256+0∙16+1∙1 = 17592186044416+0+68719476736+0+0+16777216+1048576+0+4096+256+0+1 = 1766092335129710
got It: 10100110110116 =1766092335129710
Translate the number 1766092335129710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
17660923351297 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-17660923351296 | 8830461675648 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -8830461675648 | 4415230837824 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -4415230837824 | 2207615418912 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -2207615418912 | 1103807709456 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -1103807709456 | 551903854728 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -551903854728 | 275951927364 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -275951927364 | 137975963682 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -137975963682 | 68987981841 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -68987981840 | 34493990920 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -34493990920 | 17246995460 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -17246995460 | 8623497730 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -8623497730 | 4311748865 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -4311748864 | 2155874432 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -2155874432 | 1077937216 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -1077937216 | 538968608 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -538968608 | 269484304 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -269484304 | 134742152 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -134742152 | 67371076 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -67371076 | 33685538 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -33685538 | 16842769 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -16842768 | 8421384 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -8421384 | 4210692 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 0 | -4210692 | 2105346 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -2105346 | 1052673 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -1052672 | 526336 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -526336 | 263168 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -263168 | 131584 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -131584 | 65792 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -65792 | 32896 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -32896 | 16448 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -16448 | 8224 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -8224 | 4112 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4112 | 2056 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2056 | 1028 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -1028 | 514 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -514 | 257 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -256 | 128 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | -128 | 64 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -64 | 32 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -32 | 16 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
1766092335129710 = 1000000010000000000010001000000010001000000012
answer: 10100110110116 = 1000000010000000000010001000000010001000000012