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:
0000.0011100000012 = 0000. 0011 1000 0001 = 0000(=0). 0011(=3) 1000(=8) 0001(=1) = 0.38116
answer: 0000.0011100000012 = 0.38116
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+0∙2-1+0∙2-2+1∙2-3+1∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8+0∙2-9+0∙2-10+0∙2-11+1∙2-12 = 0∙8+0∙4+0∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625+0∙0.001953125+0∙0.0009765625+0∙0.00048828125+1∙0.000244140625 = 0+0+0+0+0+0+0.125+0.0625+0.03125+0+0+0+0+0+0+0.000244140625 = 0.21899414062510
got It: 0000.0011100000012 =0.21899414062510
Translate the number 0.21899414062510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 218994140625*16 |
3 | .50391*16 |
8 | .0625*16 |
1 | .0*16 |
the result of the conversion was:
0.21899414062510 = 0.38116
answer: 0000.0011100000012 = 0.38116