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:
000001101001.001011002 = 0000 0110 1001. 0010 1100 = 0000(=0) 0110(=6) 1001(=9). 0010(=2) 1100(=C) = 069.2C16
answer: 000001101001.001011002 = 069.2C16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+0∙28+0∙27+1∙26+1∙25+0∙24+1∙23+0∙22+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙2048+0∙1024+0∙512+0∙256+0∙128+1∙64+1∙32+0∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+0+0+0+64+32+0+8+0+0+1+0+0+0.125+0+0.03125+0.015625+0+0 = 105.17187510
got It: 000001101001.001011002 =105.17187510
Translate the number 105.17187510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
105 | 16 | |
-96 | 6 | |
9 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 171875*16 |
2 | .75*16 |
C | .0*16 |
the result of the conversion was:
105.17187510 = 69.2C16
answer: 000001101001.001011002 = 69.2C16