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:
0111.01012 = 0111. 0101 = 0111(=7). 0101(=5) = 7.516
answer: 0111.01012 = 7.516
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+1∙22+1∙21+1∙20+0∙2-1+1∙2-2+0∙2-3+1∙2-4 = 0∙8+1∙4+1∙2+1∙1+0∙0.5+1∙0.25+0∙0.125+1∙0.0625 = 0+4+2+1+0+0.25+0+0.0625 = 7.312510
got It: 0111.01012 =7.312510
Translate the number 7.312510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 3125*16 |
5 | .0*16 |
the result of the conversion was:
7.312510 = 7.516
answer: 0111.01012 = 7.516