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:
10010011116 = 1 0 0 1 0 0 1 1 1 = 1(=0001) 0(=0000) 0(=0000) 1(=0001) 0(=0000) 0(=0000) 1(=0001) 1(=0001) 1(=0001) = 1000000000001000000000001000100012
answer: 10010011116 = 1000000000001000000000001000100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙168+0∙167+0∙166+1∙165+0∙164+0∙163+1∙162+1∙161+1∙160 = 1∙4294967296+0∙268435456+0∙16777216+1∙1048576+0∙65536+0∙4096+1∙256+1∙16+1∙1 = 4294967296+0+0+1048576+0+0+256+16+1 = 429601614510
got It: 10010011116 =429601614510
Translate the number 429601614510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4296016145 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-4296016144 | 2148008072 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -2148008072 | 1074004036 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -1074004036 | 537002018 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -537002018 | 268501009 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -268501008 | 134250504 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -134250504 | 67125252 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -67125252 | 33562626 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -33562626 | 16781313 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -16781312 | 8390656 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -8390656 | 4195328 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -4195328 | 2097664 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -2097664 | 1048832 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -1048832 | 524416 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -524416 | 262208 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -262208 | 131104 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -131104 | 65552 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -65552 | 32776 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -32776 | 16388 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -16388 | 8194 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -8194 | 4097 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -4096 | 2048 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -2048 | 1024 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 0 | -1024 | 512 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -512 | 256 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -256 | 128 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 0 | -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:
429601614510 = 1000000000001000000000001000100012
answer: 10010011116 = 1000000000001000000000001000100012