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:
010101101010.100011002 = 0101 0110 1010. 1000 1100 = 0101(=5) 0110(=6) 1010(=A). 1000(=8) 1100(=C) = 56A.8C16
answer: 010101101010.100011002 = 56A.8C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+1∙210+0∙29+1∙28+0∙27+1∙26+1∙25+0∙24+1∙23+0∙22+1∙21+0∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4+1∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙2048+1∙1024+0∙512+1∙256+0∙128+1∙64+1∙32+0∙16+1∙8+0∙4+1∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+1024+0+256+0+64+32+0+8+0+2+0+0.5+0+0+0+0.03125+0.015625+0+0 = 1386.54687510
got It: 010101101010.100011002 =1386.54687510
Translate the number 1386.54687510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1386 | 16 | | |
-1376 | 86 | 16 | |
A | -80 | 5 | |
| 6 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 546875*16 |
8 | .75*16 |
C | .0*16 |
the result of the conversion was:
1386.54687510 = 56A.8C16
answer: 010101101010.100011002 = 56A.8C16