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:
00110110.01102 = 0011 0110. 0110 = 0011(=3) 0110(=6). 0110(=6) = 36.616
answer: 00110110.01102 = 36.616
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+0∙23+1∙22+1∙21+0∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4 = 0∙128+0∙64+1∙32+1∙16+0∙8+1∙4+1∙2+0∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625 = 0+0+32+16+0+4+2+0+0+0.25+0.125+0 = 54.37510
got It: 00110110.01102 =54.37510
Translate the number 54.37510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
54 | 16 | |
-48 | 3 | |
6 | | |
|
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:
54.37510 = 36.616
answer: 00110110.01102 = 36.616