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:
01100000.110110002 = 0110 0000. 1101 1000 = 0110(=6) 0000(=0). 1101(=D) 1000(=8) = 60.D816
answer: 01100000.110110002 = 60.D816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+1∙26+1∙25+0∙24+0∙23+0∙22+0∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙128+1∙64+1∙32+0∙16+0∙8+0∙4+0∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+64+32+0+0+0+0+0+0.5+0.25+0+0.0625+0.03125+0+0+0 = 96.8437510
got It: 01100000.110110002 =96.8437510
Translate the number 96.8437510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
96 | 16 | |
-96 | 6 | |
0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 84375*16 |
D | .5*16 |
8 | .0*16 |
the result of the conversion was:
96.8437510 = 60.D816
answer: 01100000.110110002 = 60.D816