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
let\'s do a direct translation from binary to hexadecimal like this:
00100101.10012 = 0010 0101. 1001 = 0010(=2) 0101(=5). 1001(=9) = 25.916
answer: 00100101.10012 = 25.916
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+1∙25+0∙24+0∙23+1∙22+0∙21+1∙20+1∙2-1+0∙2-2+0∙2-3+1∙2-4 = 0∙128+0∙64+1∙32+0∙16+0∙8+1∙4+0∙2+1∙1+1∙0.5+0∙0.25+0∙0.125+1∙0.0625 = 0+0+32+0+0+4+0+1+0.5+0+0+0.0625 = 37.562510
got It: 00100101.10012 =37.562510
Translate the number 37.562510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
37 | 16 | |
-32 | 2 | |
5 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5625*16 |
9 | .0*16 |
the result of the conversion was:
37.562510 = 25.916
answer: 00100101.10012 = 25.916