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:
010010110016 = 0 1 0 0 1 0 1 1 0 0 = 0(=0000) 1(=0001) 0(=0000) 0(=0000) 1(=0001) 0(=0000) 1(=0001) 1(=0001) 0(=0000) 0(=0000) = 1000000000001000000010001000000002
answer: 010010110016 = 1000000000001000000010001000000002
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙169+1∙168+0∙167+0∙166+1∙165+0∙164+1∙163+1∙162+0∙161+0∙160 = 0∙68719476736+1∙4294967296+0∙268435456+0∙16777216+1∙1048576+0∙65536+1∙4096+1∙256+0∙16+0∙1 = 0+4294967296+0+0+1048576+0+4096+256+0+0 = 429602022410
got It: 010010110016 =429602022410
Translate the number 429602022410 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4296020224 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-4296020224 | 2148010112 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
0 | -2148010112 | 1074005056 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -1074005056 | 537002528 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -537002528 | 268501264 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -268501264 | 134250632 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -134250632 | 67125316 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -67125316 | 33562658 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -33562658 | 16781329 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -16781328 | 8390664 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -8390664 | 4195332 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -4195332 | 2097666 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -2097666 | 1048833 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -1048832 | 524416 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 1 | -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:
429602022410 = 1000000000001000000010001000000002
answer: 010010110016 = 1000000000001000000010001000000002