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 right
let\'s do a direct translation from binary to hexadecimal like this:
1010.0110_{2} = 1010. 0110 = 1010_{(=A)}. 0110_{(=6)} = A.6_{16}
the Final answer: 1010.0110_{2} = A.6_{16}
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
1∙2^{3}+0∙2^{2}+1∙2^{1}+0∙2^{0}+0∙2^{1}+1∙2^{2}+1∙2^{3}+0∙2^{4} = 1∙8+0∙4+1∙2+0∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625 = 8+0+2+0+0+0.25+0.125+0 = 10.375_{10}
got It: 1010.0110_{2} =10.375_{10}
Translate the number 10.375_{10} в hexadecimal like this:
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:
10.375_{10} = A.6_{16}
the Final answer: 1010.0110_{2} = A.6_{16}