Transfer AD.2 from hexadecimal in binary 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 hexadecimal to binary like this:

AD.216 = A D. 2 = A(=1010) D(=1101). 2(=0010) = 10101101.0012

the Final answer: AD.216 = 10101101.0012

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

let's translate to decimal like this:

10∙161+13∙160+2∙16-1 = 10∙16+13∙1+2∙0.0625 = 160+13+0.125 = 173.12510

got It: AD.216 =173.12510

Translate the number 173.12510 в binary like this:

the Integer part of the number is divided by the base of the new number system:

1732
-172862
1-86432
0-42212
1-20102
1-1052
0-422
1-21
0
Перевод чисел из одной системы счисления в другую

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

 Transferring numbers from one number system to another
0.125*2
0.25*2
0.5*2
1.0*2

the result of the conversion was:

173.12510 = 10101101.0012
the Final answer: AD.216 = 10101101.0012

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