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:
1101.10002 = 1101. 1000 = 1101(=D). 1000(=8) = D.816
answer: 1101.10002 = D.816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙23+1∙22+0∙21+1∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4 = 1∙8+1∙4+0∙2+1∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625 = 8+4+0+1+0.5+0+0+0 = 13.510
got It: 1101.10002 =13.510
Translate the number 13.510 в hexadecimal like this:
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:
13.510 = D.816
answer: 1101.10002 = D.816