Transfer 1010.0011 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.

let\'s do a direct translation from binary to hexadecimal like this:

1010.00112 = 1010. 0011 = 1010(=A). 0011(=3) = A.316

the Final answer: 1010.00112 = A.316

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+0∙2-2+1∙2-3+1∙2-4 = 1∙8+0∙4+1∙2+0∙1+0∙0.5+0∙0.25+1∙0.125+1∙0.0625 = 8+0+2+0+0+0+0.125+0.0625 = 10.187510

got It: 1010.00112 =10.187510

Translate the number 10.187510 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
0.1875*16
3.0*16

the result of the conversion was:

10.187510 = A.316
the Final answer: 1010.00112 = A.316
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