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:
0110116 = 0 1 1 0 1 = 0(=0000) 1(=0001) 1(=0001) 0(=0000) 1(=0001) = 10001000000012
answer: 0110116 = 10001000000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙164+1∙163+1∙162+0∙161+1∙160 = 0∙65536+1∙4096+1∙256+0∙16+1∙1 = 0+4096+256+0+1 = 435310
got It: 0110116 =435310
Translate the number 435310 в binary like this:
the Integer part of the number is divided by the base of the new number system:
4353 | 2 | | | | | | | | | | | | |
-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:
435310 = 10001000000012
answer: 0110116 = 10001000000012