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:
1011.110100002 = 1011. 1101 0000 = 1011(=B). 1101(=D) 0000(=0) = B.D016
answer: 1011.110100002 = B.D016
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+0∙2-5+0∙2-6+0∙2-7+0∙2-8 = 1∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+0∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 8+0+2+1+0.5+0.25+0+0.0625+0+0+0+0 = 11.812510
got It: 1011.110100002 =11.812510
Translate the number 11.812510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 8125*16 |
D | .0*16 |
the result of the conversion was:
11.812510 = B.D16
answer: 1011.110100002 = B.D16