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:
1010001116 = 1 0 1 0 0 0 1 1 = 1(=0001) 0(=0000) 1(=0001) 0(=0000) 0(=0000) 0(=0000) 1(=0001) 1(=0001) = 100000001000000000000000100012
the Final answer: 1010001116 = 100000001000000000000000100012
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙167+0∙166+1∙165+0∙164+0∙163+0∙162+1∙161+1∙160 = 1∙268435456+0∙16777216+1∙1048576+0∙65536+0∙4096+0∙256+1∙16+1∙1 = 268435456+0+1048576+0+0+0+16+1 = 26948404910
got It: 1010001116 =26948404910
Translate the number 26948404910 в binary like this:
the Integer part of the number is divided by the base of the new number system:
269484049 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
-269484048 | 134742024 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
1 | -134742024 | 67371012 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 0 | -67371012 | 33685506 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | |
| | 0 | -33685506 | 16842753 | 2 | | | | | | | | | | | | | | | | | | | | | | | | |
| | | 0 | -16842752 | 8421376 | 2 | | | | | | | | | | | | | | | | | | | | | | | |
| | | | 1 | -8421376 | 4210688 | 2 | | | | | | | | | | | | | | | | | | | | | | |
| | | | | 0 | -4210688 | 2105344 | 2 | | | | | | | | | | | | | | | | | | | | | |
| | | | | | 0 | -2105344 | 1052672 | 2 | | | | | | | | | | | | | | | | | | | | |
| | | | | | | 0 | -1052672 | 526336 | 2 | | | | | | | | | | | | | | | | | | | |
| | | | | | | | 0 | -526336 | 263168 | 2 | | | | | | | | | | | | | | | | | | |
| | | | | | | | | 0 | -263168 | 131584 | 2 | | | | | | | | | | | | | | | | | |
| | | | | | | | | | 0 | -131584 | 65792 | 2 | | | | | | | | | | | | | | | | |
| | | | | | | | | | | 0 | -65792 | 32896 | 2 | | | | | | | | | | | | | | | |
| | | | | | | | | | | | 0 | -32896 | 16448 | 2 | | | | | | | | | | | | | | |
| | | | | | | | | | | | | 0 | -16448 | 8224 | 2 | | | | | | | | | | | | | |
| | | | | | | | | | | | | | 0 | -8224 | 4112 | 2 | | | | | | | | | | | | |
| | | | | | | | | | | | | | | 0 | -4112 | 2056 | 2 | | | | | | | | | | | |
| | | | | | | | | | | | | | | | 0 | -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:
26948404910 = 100000001000000000000000100012
the Final answer: 1010001116 = 100000001000000000000000100012