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 right
let\'s do a direct translation from binary to hexadecimal like this:
1100.100000102 = 1100. 1000 0010 = 1100(=C). 1000(=8) 0010(=2) = C.8216
answer: 1100.100000102 = C.8216
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙23+1∙22+0∙21+0∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4+0∙2-5+0∙2-6+1∙2-7+0∙2-8 = 1∙8+1∙4+0∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625+0∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625 = 8+4+0+0+0.5+0+0+0+0+0+0.0078125+0 = 12.507812510
got It: 1100.100000102 =12.507812510
Translate the number 12.507812510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5078125*16 |
8 | .125*16 |
2 | .0*16 |
the result of the conversion was:
12.507812510 = C.8216
answer: 1100.100000102 = C.8216