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:
0010.110101002 = 0010. 1101 0100 = 0010(=2). 1101(=D) 0100(=4) = 2.D416
answer: 0010.110101002 = 2.D416
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+0∙22+1∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+0∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙8+0∙4+1∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+2+0+0.5+0.25+0+0.0625+0+0.015625+0+0 = 2.82812510
got It: 0010.110101002 =2.82812510
Translate the number 2.82812510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 828125*16 |
D | .25*16 |
4 | .0*16 |
the result of the conversion was:
2.82812510 = 2.D416
answer: 0010.110101002 = 2.D416