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:
000100000000.000011102 = 0001 0000 0000. 0000 1110 = 0001(=1) 0000(=0) 0000(=0). 0000(=0) 1110(=E) = 100.0E16
the Final answer: 000100000000.000011102 = 100.0E16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+0∙27+0∙26+0∙25+0∙24+0∙23+0∙22+0∙21+0∙20+0∙2-1+0∙2-2+0∙2-3+0∙2-4+1∙2-5+1∙2-6+1∙2-7+0∙2-8 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+0∙64+0∙32+0∙16+0∙8+0∙4+0∙2+0∙1+0∙0.5+0∙0.25+0∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+1∙0.0078125+0∙0.00390625 = 0+0+0+256+0+0+0+0+0+0+0+0+0+0+0+0+0.03125+0.015625+0.0078125+0 = 256.054687510
got It: 000100000000.000011102 =256.054687510
Translate the number 256.054687510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
256 | 16 | | |
-256 | 16 | 16 | |
0 | -16 | 1 | |
| 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 0546875*16 |
0 | .875*16 |
E | .0*16 |
the result of the conversion was:
256.054687510 = 100.0E16
the Final answer: 000100000000.000011102 = 100.0E16