Transfer 2.A 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:

2.A16 = 2. A = 2(=0010). A(=1010) = 10.1012

the Final answer: 2.A16 = 10.1012

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

let\'s translate to decimal like this:

2∙160+10∙16-1 = 2∙1+10∙0.0625 = 2+0.625 = 2.62510

got It: 2.A16 =2.62510

Translate the number 2.62510 в binary like this:

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

22
-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
0.625*2
1.25*2
0.5*2
1.0*2

the result of the conversion was:

2.62510 = 10.1012
the Final answer: 2.A16 = 10.1012
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