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:
0110.010.2 = 0110. 010. = 0110(=6). 010.(=2) = 6.216
answer: 0110.010.2 = 6.216
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+1∙22+1∙21+0∙20+0∙2-1+1∙2-2+0∙2-3+.∙2-4 = 0∙8+1∙4+1∙2+0∙1+0∙0.5+1∙0.25+0∙0.125+.∙0.0625 = 0+4+2+0+0+0.25+0+0 = 6.2510
got It: 0110.010.2 =6.2510
Translate the number 6.2510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 25*16 |
4 | .0*16 |
the result of the conversion was:
6.2510 = 6.416
answer: 0110.010.2 = 6.416