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:
00111001.01102 = 0011 1001. 0110 = 0011(=3) 1001(=9). 0110(=6) = 39.616
the Final answer: 00111001.01102 = 39.616
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+0∙26+1∙25+1∙24+1∙23+0∙22+0∙21+1∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4 = 0∙128+0∙64+1∙32+1∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625 = 0+0+32+16+8+0+0+1+0+0.25+0.125+0 = 57.37510
got It: 00111001.01102 =57.37510
Translate the number 57.37510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
57 | 16 | |
-48 | 3 | |
9 | | |
 |
the Fractional part of the number is multiplied by the base of the new number system:
 |
0. | 375*16 |
6 | .0*16 |
the result of the conversion was:
57.37510 = 39.616
the Final answer: 00111001.01102 = 39.616