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:
00110111.101011112 = 0011 0111. 1010 1111 = 0011(=3) 0111(=7). 1010(=A) 1111(=F) = 37.AF16
answer: 00110111.101011112 = 37.AF16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+1∙25+1∙24+0∙23+1∙22+1∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+1∙2-6+1∙2-7+1∙2-8 = 0∙128+0∙64+1∙32+1∙16+0∙8+1∙4+1∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+1∙0.0078125+1∙0.00390625 = 0+0+32+16+0+4+2+1+0.5+0+0.125+0+0.03125+0.015625+0.0078125+0.00390625 = 55.6835937510
got It: 00110111.101011112 =55.6835937510
Translate the number 55.6835937510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
55 | 16 | |
-48 | 3 | |
7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 68359375*16 |
A | .9375*16 |
F | .0*16 |
the result of the conversion was:
55.6835937510 = 37.AF16
answer: 00110111.101011112 = 37.AF16