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:
00101011.10002 = 0010 1011. 1000 = 0010(=2) 1011(=B). 1000(=8) = 2B.816
answer: 00101011.10002 = 2B.816
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+0∙2-2+0∙2-3+0∙2-4 = 0∙128+0∙64+1∙32+0∙16+1∙8+0∙4+1∙2+1∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625 = 0+0+32+0+8+0+2+1+0.5+0+0+0 = 43.510
got It: 00101011.10002 =43.510
Translate the number 43.510 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. | 5*16 |
8 | .0*16 |
the result of the conversion was:
43.510 = 2B.816
answer: 00101011.10002 = 2B.816