https://decimal-to-binary.com/decimal-to-binary-converter-online.html?id=1710

Transfer 1010.0110 from binary in hexadecimal number system

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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:

1010.01102 = 1010. 0110 = 1010(=A). 0110(=6) = A.616

the Final answer: 1010.01102 = A.616

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

1∙23+0∙22+1∙21+0∙20+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 = 10.37510

got It: 1010.01102 =10.37510

Translate the number 10.37510 в hexadecimal like this:

the Fractional part of the number is multiplied by the base of the new number system:

 Transferring numbers from one number system to another
0.375*16
6.0*16

the result of the conversion was:

10.37510 = A.616
the Final answer: 1010.01102 = A.616