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
let\'s do a direct translation from binary to hexadecimal like this:
000110011100.10102 = 0001 1001 1100. 1010 = 0001(=1) 1001(=9) 1100(=C). 1010(=A) = 19C.A16
answer: 000110011100.10102 = 19C.A16
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+1∙27+0∙26+0∙25+1∙24+1∙23+1∙22+0∙21+0∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4 = 0∙2048+0∙1024+0∙512+1∙256+1∙128+0∙64+0∙32+1∙16+1∙8+1∙4+0∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625 = 0+0+0+256+128+0+0+16+8+4+0+0+0.5+0+0.125+0 = 412.62510
got It: 000110011100.10102 =412.62510
Translate the number 412.62510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
412 | 16 | | |
-400 | 25 | 16 | |
C | -16 | 1 | |
| 9 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 625*16 |
A | .0*16 |
the result of the conversion was:
412.62510 = 19C.A16
answer: 000110011100.10102 = 19C.A16