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:
101100011011.111100102 = 1011 0001 1011. 1111 0010 = 1011(=B) 0001(=1) 1011(=B). 1111(=F) 0010(=2) = B1B.F216
answer: 101100011011.111100102 = B1B.F216
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙211+0∙210+1∙29+1∙28+0∙27+0∙26+0∙25+1∙24+1∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+1∙2-3+1∙2-4+0∙2-5+0∙2-6+1∙2-7+0∙2-8 = 1∙2048+0∙1024+1∙512+1∙256+0∙128+0∙64+0∙32+1∙16+1∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+1∙0.125+1∙0.0625+0∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625 = 2048+0+512+256+0+0+0+16+8+0+2+1+0.5+0.25+0.125+0.0625+0+0+0.0078125+0 = 2843.945312510
got It: 101100011011.111100102 =2843.945312510
Translate the number 2843.945312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
2843 | 16 | | |
-2832 | 177 | 16 | |
B | -176 | B | |
| 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 9453125*16 |
F | .125*16 |
2 | .0*16 |
the result of the conversion was:
2843.945312510 = B1B.F216
answer: 101100011011.111100102 = B1B.F216