Transfer A3.2 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:

A3.216 = A 3. 2 = A(=1010) 3(=0011). 2(=0010) = 10100011.0012

the Final answer: A3.216 = 10100011.0012

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

let's translate to decimal like this:

10∙161+3∙160+2∙16-1 = 10∙16+3∙1+2∙0.0625 = 160+3+0.125 = 163.12510

got It: A3.216 =163.12510

Translate the number 163.12510 в binary like this:

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

1632
-162812
1-80402
1-40202
0-20102
0-1052
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:

163.12510 = 10100011.0012
the Final answer: A3.216 = 10100011.0012

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