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:
0111.101110002 = 0111. 1011 1000 = 0111(=7). 1011(=B) 1000(=8) = 7.B816
answer: 0111.101110002 = 7.B816
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙23+1∙22+1∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+1∙2-4+1∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙8+1∙4+1∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+1∙0.0625+1∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+4+2+1+0.5+0+0.125+0.0625+0.03125+0+0+0 = 7.7187510
got It: 0111.101110002 =7.7187510
Translate the number 7.7187510 в hexadecimal like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 71875*16 |
B | .5*16 |
8 | .0*16 |
the result of the conversion was:
7.7187510 = 7.B816
answer: 0111.101110002 = 7.B816