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:
01010100.101101002 = 0101 0100. 1011 0100 = 0101(=5) 0100(=4). 1011(=B) 0100(=4) = 54.B416
answer: 01010100.101101002 = 54.B416
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+1∙26+0∙25+1∙24+0∙23+1∙22+0∙21+0∙20+1∙2-1+0∙2-2+1∙2-3+1∙2-4+0∙2-5+1∙2-6+0∙2-7+0∙2-8 = 0∙128+1∙64+0∙32+1∙16+0∙8+1∙4+0∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+1∙0.0625+0∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625 = 0+64+0+16+0+4+0+0+0.5+0+0.125+0.0625+0+0.015625+0+0 = 84.70312510
got It: 01010100.101101002 =84.70312510
Translate the number 84.70312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
84 | 16 | |
-80 | 5 | |
4 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 703125*16 |
B | .25*16 |
4 | .0*16 |
the result of the conversion was:
84.70312510 = 54.B416
answer: 01010100.101101002 = 54.B416