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:
010110011101.11002 = 0101 1001 1101. 1100 = 0101(=5) 1001(=9) 1101(=D). 1100(=C) = 59D.C16
answer: 010110011101.11002 = 59D.C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+1∙210+0∙29+1∙28+1∙27+0∙26+0∙25+1∙24+1∙23+1∙22+0∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙2048+1∙1024+0∙512+1∙256+1∙128+0∙64+0∙32+1∙16+1∙8+1∙4+0∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+1024+0+256+128+0+0+16+8+4+0+1+0.5+0.25+0+0 = 1437.7510
got It: 010110011101.11002 =1437.7510
Translate the number 1437.7510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
1437 | 16 | | |
-1424 | 89 | 16 | |
D | -80 | 5 | |
| 9 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 75*16 |
C | .0*16 |
the result of the conversion was:
1437.7510 = 59D.C16
answer: 010110011101.11002 = 59D.C16