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:
11110101.10102 = 1111 0101. 1010 = 1111(=F) 0101(=5). 1010(=A) = F5.A16
answer: 11110101.10102 = F5.A16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙27+1∙26+1∙25+1∙24+0∙23+1∙22+0∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4 = 1∙128+1∙64+1∙32+1∙16+0∙8+1∙4+0∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625 = 128+64+32+16+0+4+0+1+0.5+0+0.125+0 = 245.62510
got It: 11110101.10102 =245.62510
Translate the number 245.62510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
245 | 16 | |
-240 | F | |
5 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 625*16 |
A | .0*16 |
the result of the conversion was:
245.62510 = F5.A16
answer: 11110101.10102 = F5.A16