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:
1101010116 = 1 1 0 1 0 1 0 1 = 1(=0001) 1(=0001) 0(=0000) 1(=0001) 0(=0000) 1(=0001) 0(=0000) 1(=0001) = 100010000000100000001000000012
answer: 1101010116 = 100010000000100000001000000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙167+1∙166+0∙165+1∙164+0∙163+1∙162+0∙161+1∙160 = 1∙268435456+1∙16777216+0∙1048576+1∙65536+0∙4096+1∙256+0∙16+1∙1 = 268435456+16777216+0+65536+0+256+0+1 = 28527846510
got It: 1101010116 =28527846510
Translate the number 28527846510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
285278465 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-285278464 | 142639232 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -142639232 | 71319616 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -71319616 | 35659808 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -35659808 | 17829904 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -17829904 | 8914952 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -8914952 | 4457476 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -4457476 | 2228738 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -2228738 | 1114369 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -1114368 | 557184 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -557184 | 278592 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -278592 | 139296 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -139296 | 69648 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -69648 | 34824 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -34824 | 17412 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -17412 | 8706 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -8706 | 4353 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -4352 | 2176 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -2176 | 1088 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -1088 | 544 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -544 | 272 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -272 | 136 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -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:
28527846510 = 100010000000100000001000000012
answer: 1101010116 = 100010000000100000001000000012