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:
00011001.001100002 = 0001 1001. 0011 0000 = 0001(=1) 1001(=9). 0011(=3) 0000(=0) = 19.3016
answer: 00011001.001100002 = 19.3016
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+0∙22+0∙21+1∙20+0∙2-1+0∙2-2+1∙2-3+1∙2-4+0∙2-5+0∙2-6+0∙2-7+0∙2-8 = 0∙128+0∙64+0∙32+1∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625+0∙0.03125+0∙0.015625+0∙0.0078125+0∙0.00390625 = 0+0+0+16+8+0+0+1+0+0+0.125+0.0625+0+0+0+0 = 25.187510
got It: 00011001.001100002 =25.187510
Translate the number 25.187510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
25 | 16 | |
-16 | 1 | |
9 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 1875*16 |
3 | .0*16 |
the result of the conversion was:
25.187510 = 19.316
answer: 00011001.001100002 = 19.316