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:
0000.0010011110002 = 0000. 0010 0111 1000 = 0000(=0). 0010(=2) 0111(=7) 1000(=8) = 0.27816
answer: 0000.0010011110002 = 0.27816
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+0∙2-4+0∙2-5+1∙2-6+1∙2-7+1∙2-8+1∙2-9+0∙2-10+0∙2-11+0∙2-12 = 0∙8+0∙4+0∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625+0∙0.03125+1∙0.015625+1∙0.0078125+1∙0.00390625+1∙0.001953125+0∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 0+0+0+0+0+0+0.125+0+0+0.015625+0.0078125+0.00390625+0.001953125+0+0+0 = 0.15429687510
got It: 0000.0010011110002 =0.15429687510
Translate the number 0.15429687510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 154296875*16 |
2 | .46875*16 |
7 | .5*16 |
8 | .0*16 |
the result of the conversion was:
0.15429687510 = 0.27816
answer: 0000.0010011110002 = 0.27816