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:
110000110110.110010102 = 1100 0011 0110. 1100 1010 = 1100(=C) 0011(=3) 0110(=6). 1100(=C) 1010(=A) = C36.CA16
answer: 110000110110.110010102 = C36.CA16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙211+1∙210+0∙29+0∙28+0∙27+0∙26+1∙25+1∙24+0∙23+1∙22+1∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4+1∙2-5+0∙2-6+1∙2-7+0∙2-8 = 1∙2048+1∙1024+0∙512+0∙256+0∙128+0∙64+1∙32+1∙16+0∙8+1∙4+1∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625 = 2048+1024+0+0+0+0+32+16+0+4+2+0+0.5+0.25+0+0+0.03125+0+0.0078125+0 = 3126.789062510
got It: 110000110110.110010102 =3126.789062510
Translate the number 3126.789062510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
3126 | 16 | | |
-3120 | 195 | 16 | |
6 | -192 | C | |
| 3 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 7890625*16 |
C | .625*16 |
A | .0*16 |
the result of the conversion was:
3126.789062510 = C36.CA16
answer: 110000110110.110010102 = C36.CA16