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:
01001110.01002 = 0100 1110. 0100 = 0100(=4) 1110(=E). 0100(=4) = 4E.416
answer: 01001110.01002 = 4E.416
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+1∙26+0∙25+0∙24+1∙23+1∙22+1∙21+0∙20+0∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙128+1∙64+0∙32+0∙16+1∙8+1∙4+1∙2+0∙1+0∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+64+0+0+8+4+2+0+0+0.25+0+0 = 78.2510
got It: 01001110.01002 =78.2510
Translate the number 78.2510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
78 | 16 | |
-64 | 4 | |
E | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 25*16 |
4 | .0*16 |
the result of the conversion was:
78.2510 = 4E.416
answer: 01001110.01002 = 4E.416