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:
2121212116 = 2 1 2 1 2 1 2 1 = 2(=0010) 1(=0001) 2(=0010) 1(=0001) 2(=0010) 1(=0001) 2(=0010) 1(=0001) = 1000010010000100100001001000012
answer: 2121212116 = 1000010010000100100001001000012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
2∙167+1∙166+2∙165+1∙164+2∙163+1∙162+2∙161+1∙160 = 2∙268435456+1∙16777216+2∙1048576+1∙65536+2∙4096+1∙256+2∙16+1∙1 = 536870912+16777216+2097152+65536+8192+256+32+1 = 55581929710
got It: 2121212116 =55581929710
Translate the number 55581929710 в binary like this:
the Integer part of the number is divided by the base of the new number system:
555819297 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-555819296 | 277909648 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -277909648 | 138954824 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -138954824 | 69477412 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -69477412 | 34738706 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -34738706 | 17369353 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 0 | -17369352 | 8684676 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 1 | -8684676 | 4342338 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -4342338 | 2171169 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -2171168 | 1085584 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -1085584 | 542792 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -542792 | 271396 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -271396 | 135698 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -135698 | 67849 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -67848 | 33924 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 1 | -33924 | 16962 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -16962 | 8481 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -8480 | 4240 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -4240 | 2120 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -2120 | 1060 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -1060 | 530 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -530 | 265 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 0 | -264 | 132 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | | 1 | -132 | 66 | 2 | | | | | | |
| | | | | | | | | | | | | | | | | | | | | | 0 | -66 | 33 | 2 | | | | | |
| | | | | | | | | | | | | | | | | | | | | | | 0 | -32 | 16 | 2 | | | | |
| | | | | | | | | | | | | | | | | | | | | | | | 1 | -16 | 8 | 2 | | | |
| | | | | | | | | | | | | | | | | | | | | | | | | 0 | -8 | 4 | 2 | | |
| | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -4 | 2 | 2 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | -2 | 1 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | | |
|
the result of the conversion was:
55581929710 = 1000010010000100100001001000012
answer: 2121212116 = 1000010010000100100001001000012