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:
00101011.111010002 = 0010 1011. 1110 1000 = 0010(=2) 1011(=B). 1110(=E) 1000(=8) = 2B.E816
the Final answer: 00101011.111010002 = 2B.E816
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+1∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙128+0∙64+1∙32+0∙16+1∙8+0∙4+1∙2+1∙1+1∙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+32+0+8+0+2+1+0.5+0.25+0.125+0+0.03125+0+0+0 = 43.9062510
got It: 00101011.111010002 =43.9062510
Translate the number 43.9062510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
43 | 16 | |
-32 | 2 | |
B | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 90625*16 |
E | .5*16 |
8 | .0*16 |
the result of the conversion was:
43.9062510 = 2B.E816
the Final answer: 00101011.111010002 = 2B.E816