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:
00011110.100000002 = 0001 1110. 1000 0000 = 0001(=1) 1110(=E). 1000(=8) 0000(=0) = 1E.8016
the Final answer: 00011110.100000002 = 1E.8016
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+0∙25+1∙24+1∙23+1∙22+1∙21+0∙20+1∙2-1+0∙2-2+0∙2-3+0∙2-4+0∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙128+0∙64+0∙32+1∙16+1∙8+1∙4+1∙2+0∙1+1∙0.5+0∙0.25+0∙0.125+0∙0.0625+0∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+0+16+8+4+2+0+0.5+0+0+0+0+0+0+0 = 30.510
got It: 00011110.100000002 =30.510
Translate the number 30.510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
30 | 16 | |
-16 | 1 | |
E | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 5*16 |
8 | .0*16 |
the result of the conversion was:
30.510 = 1E.816
the Final answer: 00011110.100000002 = 1E.816