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:
10101111.00102 = 1010 1111. 0010 = 1010(=A) 1111(=F). 0010(=2) = AF.216
answer: 10101111.00102 = AF.216
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+1∙21+1∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4 = 1∙128+0∙64+1∙32+0∙16+1∙8+1∙4+1∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625 = 128+0+32+0+8+4+2+1+0+0+0.125+0 = 175.12510
got It: 10101111.00102 =175.12510
Translate the number 175.12510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
175 | 16 | |
-160 | A | |
F | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 125*16 |
2 | .0*16 |
the result of the conversion was:
175.12510 = AF.216
answer: 10101111.00102 = AF.216