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 left
Fill in the number with missing zeros on the right
let\'s do a direct translation from binary to hexadecimal like this:
001111110011.110011002 = 0011 1111 0011. 1100 1100 = 0011(=3) 1111(=F) 0011(=3). 1100(=C) 1100(=C) = 3F3.CC16
answer: 001111110011.110011002 = 3F3.CC16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+1∙29+1∙28+1∙27+1∙26+1∙25+1∙24+0∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4+1∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙2048+0∙1024+1∙512+1∙256+1∙128+1∙64+1∙32+1∙16+0∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+512+256+128+64+32+16+0+0+2+1+0.5+0.25+0+0+0.03125+0.015625+0+0 = 1011.79687510
got It: 001111110011.110011002 =1011.79687510
Translate the number 1011.79687510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1011 | 16 | | |
-1008 | 63 | 16 | |
3 | -48 | 3 | |
| F | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 796875*16 |
C | .75*16 |
C | .0*16 |
the result of the conversion was:
1011.79687510 = 3F3.CC16
answer: 001111110011.110011002 = 3F3.CC16