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 right
let\'s do a direct translation from binary to hexadecimal like this:
10101100.10002 = 1010 1100. 1000 = 1010(=A) 1100(=C). 1000(=8) = AC.816
answer: 10101100.10002 = AC.816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙27+0∙26+1∙25+0∙24+1∙23+1∙22+0∙21+0∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4 = 1∙128+0∙64+1∙32+0∙16+1∙8+1∙4+0∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625 = 128+0+32+0+8+4+0+0+0.5+0+0+0 = 172.510
got It: 10101100.10002 =172.510
Translate the number 172.510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
172 | 16 | |
-160 | A | |
C | | |
|
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:
172.510 = AC.816
answer: 10101100.10002 = AC.816