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:
101100011110.001101002 = 1011 0001 1110. 0011 0100 = 1011(=B) 0001(=1) 1110(=E). 0011(=3) 0100(=4) = B1E.3416
answer: 101100011110.001101002 = B1E.3416
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+0∙27+0∙26+0∙25+1∙24+1∙23+1∙22+1∙21+0∙20+0∙2-1+0∙2-2+1∙2-3+1∙2-4+0∙2-5+1∙2-6+0∙2-7+0∙2-8 = 1∙2048+0∙1024+1∙512+1∙256+0∙128+0∙64+0∙32+1∙16+1∙8+1∙4+1∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 2048+0+512+256+0+0+0+16+8+4+2+0+0+0+0.125+0.0625+0+0.015625+0+0 = 2846.20312510
got It: 101100011110.001101002 =2846.20312510
Translate the number 2846.20312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
2846 | 16 | | |
-2832 | 177 | 16 | |
E | -176 | B | |
| 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 203125*16 |
3 | .25*16 |
4 | .0*16 |
the result of the conversion was:
2846.20312510 = B1E.3416
answer: 101100011110.001101002 = B1E.3416