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:
001010101001.011010002 = 0010 1010 1001. 0110 1000 = 0010(=2) 1010(=A) 1001(=9). 0110(=6) 1000(=8) = 2A9.6816
answer: 001010101001.011010002 = 2A9.6816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+0∙28+1∙27+0∙26+1∙25+0∙24+1∙23+0∙22+0∙21+1∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙2048+0∙1024+1∙512+0∙256+1∙128+0∙64+1∙32+0∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+512+0+128+0+32+0+8+0+0+1+0+0.25+0.125+0+0.03125+0+0+0 = 681.4062510
got It: 001010101001.011010002 =681.4062510
Translate the number 681.4062510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
681 | 16 | | |
-672 | 42 | 16 | |
9 | -32 | 2 | |
| A | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 40625*16 |
6 | .5*16 |
8 | .0*16 |
the result of the conversion was:
681.4062510 = 2A9.6816
answer: 001010101001.011010002 = 2A9.6816