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
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
000100110101.10002 = 0001 0011 0101. 1000 = 0001(=1) 0011(=3) 0101(=5). 1000(=8) = 135.816
answer: 000100110101.10002 = 135.816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+0∙27+0∙26+1∙25+1∙24+0∙23+1∙22+0∙21+1∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+0∙64+1∙32+1∙16+0∙8+1∙4+0∙2+1∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625 = 0+0+0+256+0+0+32+16+0+4+0+1+0.5+0+0+0 = 309.510
got It: 000100110101.10002 =309.510
Translate the number 309.510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
309 | 16 | | |
-304 | 19 | 16 | |
5 | -16 | 1 | |
| 3 | | |
|
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:
309.510 = 135.816
answer: 000100110101.10002 = 135.816