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:
110111116 = 1 1 0 1 1 1 1 = 1(=0001) 1(=0001) 0(=0000) 1(=0001) 1(=0001) 1(=0001) 1(=0001) = 10001000000010001000100012
answer: 110111116 = 10001000000010001000100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙166+1∙165+0∙164+1∙163+1∙162+1∙161+1∙160 = 1∙16777216+1∙1048576+0∙65536+1∙4096+1∙256+1∙16+1∙1 = 16777216+1048576+0+4096+256+16+1 = 1783016110
got It: 110111116 =1783016110
Translate the number 1783016110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
17830161 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
-17830160 | 8915080 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
1 | -8915080 | 4457540 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -4457540 | 2228770 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -2228770 | 1114385 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -1114384 | 557192 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -557192 | 278596 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -278596 | 139298 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -139298 | 69649 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -69648 | 34824 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -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:
1783016110 = 10001000000010001000100012
answer: 110111116 = 10001000000010001000100012