This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s do a direct translation from binary to hexadecimal like this:
1011.11112 = 1011. 1111 = 1011(=B). 1111(=F) = B.F16
the Final answer: 1011.11112 = B.F16
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+1∙2-3+1∙2-4 = 1∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+1∙0.125+1∙0.0625 = 8+0+2+1+0.5+0.25+0.125+0.0625 = 11.937510
got It: 1011.11112 =11.937510
Translate the number 11.937510 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:
11.937510 = B.F16
the Final answer: 1011.11112 = B.F16