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:
0010100011102 = 0010 1000 1110 = 0010(=2) 1000(=8) 1110(=E) = 28E16
answer: 0010100011102 = 28E16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+0∙28+1∙27+0∙26+0∙25+0∙24+1∙23+1∙22+1∙21+0∙20 = 0∙2048+0∙1024+1∙512+0∙256+1∙128+0∙64+0∙32+0∙16+1∙8+1∙4+1∙2+0∙1 = 0+0+512+0+128+0+0+0+8+4+2+0 = 65410
got It: 0010100011102 =65410
Translate the number 65410 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
654 | 16 | | |
-640 | 40 | 16 | |
E | -32 | 2 | |
| 8 | | |
|
the result of the conversion was:
65410 = 28E16
answer: 0010100011102 = 28E16