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:
0001111110100011001101102 = 0001 1111 1010 0011 0011 0110 = 0001(=1) 1111(=F) 1010(=A) 0011(=3) 0011(=3) 0110(=6) = 1FA33616
answer: 0001111110100011001101102 = 1FA33616
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙223+0∙222+0∙221+1∙220+1∙219+1∙218+1∙217+1∙216+1∙215+0∙214+1∙213+0∙212+0∙211+0∙210+1∙29+1∙28+0∙27+0∙26+1∙25+1∙24+0∙23+1∙22+1∙21+0∙20 = 0∙8388608+0∙4194304+0∙2097152+1∙1048576+1∙524288+1∙262144+1∙131072+1∙65536+1∙32768+0∙16384+1∙8192+0∙4096+0∙2048+0∙1024+1∙512+1∙256+0∙128+0∙64+1∙32+1∙16+0∙8+1∙4+1∙2+0∙1 = 0+0+0+1048576+524288+262144+131072+65536+32768+0+8192+0+0+0+512+256+0+0+32+16+0+4+2+0 = 207339810
got It: 0001111110100011001101102 =207339810
Translate the number 207339810 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
2073398 | 16 | | | | | |
-2073392 | 129587 | 16 | | | | |
6 | -129584 | 8099 | 16 | | | |
| 3 | -8096 | 506 | 16 | | |
| | 3 | -496 | 31 | 16 | |
| | | A | -16 | 1 | |
| | | | F | | |
|
the result of the conversion was:
207339810 = 1FA33616
answer: 0001111110100011001101102 = 1FA33616