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:
01100001.1010110011002 = 0110 0001. 1010 1100 1100 = 0110(=6) 0001(=1). 1010(=A) 1100(=C) 1100(=C) = 61.ACC16
answer: 01100001.1010110011002 = 61.ACC16
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙27+1∙26+1∙25+0∙24+0∙23+0∙22+0∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+1∙2-6+0∙2-7+0∙2-8+1∙2-9+1∙2-10+0∙2-11+0∙2-12 = 0∙128+1∙64+1∙32+0∙16+0∙8+0∙4+0∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+0∙0.0078125+0∙0.00390625+1∙0.001953125+1∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 0+64+32+0+0+0+0+1+0.5+0+0.125+0+0.03125+0.015625+0+0+0.001953125+0.0009765625+0+0 = 97.674804687510
got It: 01100001.1010110011002 =97.674804687510
Translate the number 97.674804687510 в hexadecimal like this:
the Integer part of the number is divided by the base of the new number system:
97 | 16 | |
-96 | 6 | |
1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6748046875*16 |
A | .79688*16 |
C | .75*16 |
C | .0*16 |
the result of the conversion was:
97.674804687510 = 61.ACC16
answer: 01100001.1010110011002 = 61.ACC16