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
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
0000.11010111011010002 = 0000. 1101 0111 0110 1000 = 0000(=0). 1101(=D) 0111(=7) 0110(=6) 1000(=8) = 0.D76816
answer: 0000.11010111011010002 = 0.D76816
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+1∙2-2+0∙2-3+1∙2-4+0∙2-5+1∙2-6+1∙2-7+1∙2-8+0∙2-9+1∙2-10+1∙2-11+0∙2-12+1∙2-13+0∙2-14+0∙2-15+0∙2-16 = 0∙8+0∙4+0∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+0∙0.03125+1∙0.015625+1∙0.0078125+1∙0.00390625+0∙0.001953125+1∙0.0009765625+1∙0.00048828125+0∙0.000244140625+1∙0.0001220703125+0∙6.103515625E-5+0∙3.0517578125E-5+0∙1.52587890625E-5 = 0+0+0+0+0.5+0.25+0+0.0625+0+0.015625+0.0078125+0.00390625+0+0.0009765625+0.00048828125+0+0.0001220703125+0+0+0 = 0.841430664062510
got It: 0000.11010111011010002 =0.841430664062510
Translate the number 0.841430664062510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 8414306640625*16 |
D | .46289*16 |
7 | .40625*16 |
6 | .5*16 |
8 | .0*16 |
the result of the conversion was:
0.841430664062510 = 0.D76816
answer: 0000.11010111011010002 = 0.D76816