This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
Fill in the number with missing zeros on the left
let\'s do a direct translation from binary to hexadecimal like this:
0001000100012 = 0001 0001 0001 = 0001(=1) 0001(=1) 0001(=1) = 11116
answer: 0001000100012 = 11116
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+0∙27+0∙26+0∙25+1∙24+0∙23+0∙22+0∙21+1∙20 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+0∙64+0∙32+1∙16+0∙8+0∙4+0∙2+1∙1 = 0+0+0+256+0+0+0+16+0+0+0+1 = 27310
got It: 0001000100012 =27310
Translate the number 27310 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
273 | 16 | | |
-272 | 17 | 16 | |
1 | -16 | 1 | |
| 1 | | |
|
the result of the conversion was:
27310 = 11116
answer: 0001000100012 = 11116