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:
010100101011100010002 = 0101 0010 1011 1000 1000 = 0101(=5) 0010(=2) 1011(=B) 1000(=8) 1000(=8) = 52B8816
answer: 010100101011100010002 = 52B8816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙219+1∙218+0∙217+1∙216+0∙215+0∙214+1∙213+0∙212+1∙211+0∙210+1∙29+1∙28+1∙27+0∙26+0∙25+0∙24+1∙23+0∙22+0∙21+0∙20 = 0∙524288+1∙262144+0∙131072+1∙65536+0∙32768+0∙16384+1∙8192+0∙4096+1∙2048+0∙1024+1∙512+1∙256+1∙128+0∙64+0∙32+0∙16+1∙8+0∙4+0∙2+0∙1 = 0+262144+0+65536+0+0+8192+0+2048+0+512+256+128+0+0+0+8+0+0+0 = 33882410
got It: 010100101011100010002 =33882410
Translate the number 33882410 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
338824 | 16 | | | | |
-338816 | 21176 | 16 | | | |
8 | -21168 | 1323 | 16 | | |
| 8 | -1312 | 82 | 16 | |
| | B | -80 | 5 | |
| | | 2 | | |
|
the result of the conversion was:
33882410 = 52B8816
answer: 010100101011100010002 = 52B8816