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:
0000.11112 = 0000. 1111 = 0000(=0). 1111(=F) = 0.F16
answer: 0000.11112 = 0.F16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+0∙22+0∙21+0∙20+1∙2-1+1∙2-2+1∙2-3+1∙2-4 = 0∙8+0∙4+0∙2+0∙1+1∙0.5+1∙0.25+1∙0.125+1∙0.0625 = 0+0+0+0+0.5+0.25+0.125+0.0625 = 0.937510
got It: 0000.11112 =0.937510
Translate the number 0.937510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 9375*16 |
F | .0*16 |
the result of the conversion was:
0.937510 = 0.F16
answer: 0000.11112 = 0.F16