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:
101111010100.10102 = 1011 1101 0100. 1010 = 1011(=B) 1101(=D) 0100(=4). 1010(=A) = BD4.A16
answer: 101111010100.10102 = BD4.A16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙211+0∙210+1∙29+1∙28+1∙27+1∙26+0∙25+1∙24+0∙23+1∙22+0∙21+0∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4 = 1∙2048+0∙1024+1∙512+1∙256+1∙128+1∙64+0∙32+1∙16+0∙8+1∙4+0∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625 = 2048+0+512+256+128+64+0+16+0+4+0+0+0.5+0+0.125+0 = 3028.62510
got It: 101111010100.10102 =3028.62510
Translate the number 3028.62510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
3028 | 16 | | |
-3024 | 189 | 16 | |
4 | -176 | B | |
| D | | |
|
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:
3028.62510 = BD4.A16
answer: 101111010100.10102 = BD4.A16