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:
111001110110.001010102 = 1110 0111 0110. 0010 1010 = 1110(=E) 0111(=7) 0110(=6). 0010(=2) 1010(=A) = E76.2A16
answer: 111001110110.001010102 = E76.2A16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙211+1∙210+1∙29+0∙28+0∙27+1∙26+1∙25+1∙24+0∙23+1∙22+1∙21+0∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+0∙2-6+1∙2-7+0∙2-8 = 1∙2048+1∙1024+1∙512+0∙256+0∙128+1∙64+1∙32+1∙16+0∙8+1∙4+1∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+0∙0.015625+1∙0.0078125+0∙0.00390625 = 2048+1024+512+0+0+64+32+16+0+4+2+0+0+0+0.125+0+0.03125+0+0.0078125+0 = 3702.164062510
got It: 111001110110.001010102 =3702.164062510
Translate the number 3702.164062510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
3702 | 16 | | |
-3696 | 231 | 16 | |
6 | -224 | E | |
| 7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 1640625*16 |
2 | .625*16 |
A | .0*16 |
the result of the conversion was:
3702.164062510 = E76.2A16
answer: 111001110110.001010102 = E76.2A16