Transfer 2BFC.A2 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:

2BFC.A216 = 2 B F C. A 2 = 2(=0010) B(=1011) F(=1111) C(=1100). A(=1010) 2(=0010) = 10101111111100.10100012

the Final answer: 2BFC.A216 = 10101111111100.10100012

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

let's translate to decimal like this:

2∙163+11∙162+15∙161+12∙160+10∙16-1+2∙16-2 = 2∙4096+11∙256+15∙16+12∙1+10∙0.0625+2∙0.00390625 = 8192+2816+240+12+0.625+0.0078125 = 11260.632812510

got It: 2BFC.A216 =11260.632812510

Translate the number 11260.632812510 в binary like this:

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

112602
-1126056302
0-563028152
0-281414072
1-14067032
1-7023512
1-3501752
1-174872
1-86432
1-42212
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
0.6328125*2
1.26563*2
0.53125*2
1.0625*2
0.125*2
0.25*2
0.5*2
1.0*2

the result of the conversion was:

11260.632812510 = 10101111111100.10100012
the Final answer: 2BFC.A216 = 10101111111100.10100012

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