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:
01001001.101101002 = 0100 1001. 1011 0100 = 0100(=4) 1001(=9). 1011(=B) 0100(=4) = 49.B416
answer: 01001001.101101002 = 49.B416
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+0∙22+0∙21+1∙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+0∙16+1∙8+0∙4+0∙2+1∙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+0+8+0+0+1+0.5+0+0.125+0.0625+0+0.015625+0+0 = 73.70312510
got It: 01001001.101101002 =73.70312510
Translate the number 73.70312510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
73 | 16 | |
-64 | 4 | |
9 | | |
|
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:
73.70312510 = 49.B416
answer: 01001001.101101002 = 49.B416