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:
0000.101010102 = 0000. 1010 1010 = 0000(=0). 1010(=A) 1010(=A) = 0.AA16
answer: 0000.101010102 = 0.AA16
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+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+1∙2-7+0∙2-8 = 0∙8+0∙4+0∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625 = 0+0+0+0+0.5+0+0.125+0+0.03125+0+0.0078125+0 = 0.664062510
got It: 0000.101010102 =0.664062510
Translate the number 0.664062510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6640625*16 |
A | .625*16 |
A | .0*16 |
the result of the conversion was:
0.664062510 = 0.AA16
answer: 0000.101010102 = 0.AA16