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:
1011011116 = 1 0 1 1 0 1 1 1 = 1(=0001) 0(=0000) 1(=0001) 1(=0001) 0(=0000) 1(=0001) 1(=0001) 1(=0001) = 100000001000100000001000100012
answer: 1011011116 = 100000001000100000001000100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙167+0∙166+1∙165+1∙164+0∙163+1∙162+1∙161+1∙160 = 1∙268435456+0∙16777216+1∙1048576+1∙65536+0∙4096+1∙256+1∙16+1∙1 = 268435456+0+1048576+65536+0+256+16+1 = 26954984110
got It: 1011011116 =26954984110
Translate the number 26954984110 в binary like this:
the Integer part of the number is divided by the base of the new number system:
269549841 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-269549840 | 134774920 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -134774920 | 67387460 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -67387460 | 33693730 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -33693730 | 16846865 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -16846864 | 8423432 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -8423432 | 4211716 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -4211716 | 2105858 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -2105858 | 1052929 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -1052928 | 526464 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 1 | -526464 | 263232 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -263232 | 131616 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -131616 | 65808 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -65808 | 32904 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -32904 | 16452 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -16452 | 8226 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -8226 | 4113 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -4112 | 2056 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 1 | -2056 | 1028 | 2 | | | | | | | | | | |
| | | | | | | | | | | | | | | | | 0 | -1028 | 514 | 2 | | | | | | | | | |
| | | | | | | | | | | | | | | | | | 0 | -514 | 257 | 2 | | | | | | | | |
| | | | | | | | | | | | | | | | | | | 0 | -256 | 128 | 2 | | | | | | | |
| | | | | | | | | | | | | | | | | | | | 1 | -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:
26954984110 = 100000001000100000001000100012
answer: 1011011116 = 100000001000100000001000100012