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:
00010111.01112 = 0001 0111. 0111 = 0001(=1) 0111(=7). 0111(=7) = 17.716
answer: 00010111.01112 = 17.716
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+0∙25+1∙24+0∙23+1∙22+1∙21+1∙20+0∙2-1+1∙2-2+1∙2-3+1∙2-4 = 0∙128+0∙64+0∙32+1∙16+0∙8+1∙4+1∙2+1∙1+0∙0.5+1∙0.25+1∙0.125+1∙0.0625 = 0+0+0+16+0+4+2+1+0+0.25+0.125+0.0625 = 23.437510
got It: 00010111.01112 =23.437510
Translate the number 23.437510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
23 | 16 | |
-16 | 1 | |
7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 4375*16 |
7 | .0*16 |
the result of the conversion was:
23.437510 = 17.716
answer: 00010111.01112 = 17.716