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:
0010.11102 = 0010. 1110 = 0010(=2). 1110(=E) = 2.E16
answer: 0010.11102 = 2.E16
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+1∙2-3+0∙2-4 = 0∙8+0∙4+1∙2+0∙1+1∙0.5+1∙0.25+1∙0.125+0∙0.0625 = 0+0+2+0+0.5+0.25+0.125+0 = 2.87510
got It: 0010.11102 =2.87510
Translate the number 2.87510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 875*16 |
E | .0*16 |
the result of the conversion was:
2.87510 = 2.E16
answer: 0010.11102 = 2.E16