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 binary to hexadecimal like this:
1001001001101101000111002 = 1001 0010 0110 1101 0001 1100 = 1001(=9) 0010(=2) 0110(=6) 1101(=D) 0001(=1) 1100(=C) = 926D1C16
answer: 1001001001101101000111002 = 926D1C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙223+0∙222+0∙221+1∙220+0∙219+0∙218+1∙217+0∙216+0∙215+1∙214+1∙213+0∙212+1∙211+1∙210+0∙29+1∙28+0∙27+0∙26+0∙25+1∙24+1∙23+1∙22+0∙21+0∙20 = 1∙8388608+0∙4194304+0∙2097152+1∙1048576+0∙524288+0∙262144+1∙131072+0∙65536+0∙32768+1∙16384+1∙8192+0∙4096+1∙2048+1∙1024+0∙512+1∙256+0∙128+0∙64+0∙32+1∙16+1∙8+1∙4+0∙2+0∙1 = 8388608+0+0+1048576+0+0+131072+0+0+16384+8192+0+2048+1024+0+256+0+0+0+16+8+4+0+0 = 959618810
got It: 1001001001101101000111002 =959618810
Translate the number 959618810 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
9596188 | 16 | | | | | |
-9596176 | 599761 | 16 | | | | |
C | -599760 | 37485 | 16 | | | |
| 1 | -37472 | 2342 | 16 | | |
| | D | -2336 | 146 | 16 | |
| | | 6 | -144 | 9 | |
| | | | 2 | | |
|
the result of the conversion was:
959618810 = 926D1C16
answer: 1001001001101101000111002 = 926D1C16