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:
001101101101.110111002 = 0011 0110 1101. 1101 1100 = 0011(=3) 0110(=6) 1101(=D). 1101(=D) 1100(=C) = 36D.DC16
answer: 001101101101.110111002 = 36D.DC16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+1∙28+0∙27+1∙26+1∙25+0∙24+1∙23+1∙22+0∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+1∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙2048+0∙1024+1∙512+1∙256+0∙128+1∙64+1∙32+0∙16+1∙8+1∙4+0∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+1∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+512+256+0+64+32+0+8+4+0+1+0.5+0.25+0+0.0625+0.03125+0.015625+0+0 = 877.85937510
got It: 001101101101.110111002 =877.85937510
Translate the number 877.85937510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
877 | 16 | | |
-864 | 54 | 16 | |
D | -48 | 3 | |
| 6 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 859375*16 |
D | .75*16 |
C | .0*16 |
the result of the conversion was:
877.85937510 = 36D.DC16
answer: 001101101101.110111002 = 36D.DC16