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:
001001011000.10002 = 0010 0101 1000. 1000 = 0010(=2) 0101(=5) 1000(=8). 1000(=8) = 258.816
answer: 001001011000.10002 = 258.816
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+0∙27+1∙26+0∙25+1∙24+1∙23+0∙22+0∙21+0∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4 = 0∙2048+0∙1024+1∙512+0∙256+0∙128+1∙64+0∙32+1∙16+1∙8+0∙4+0∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625 = 0+0+512+0+0+64+0+16+8+0+0+0+0.5+0+0+0 = 600.510
got It: 001001011000.10002 =600.510
Translate the number 600.510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
600 | 16 | | |
-592 | 37 | 16 | |
8 | -32 | 2 | |
| 5 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5*16 |
8 | .0*16 |
the result of the conversion was:
600.510 = 258.816
answer: 001001011000.10002 = 258.816