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:

 11260 2 -11260 5630 2 0 -5630 2815 2 0 -2814 1407 2 1 -1406 703 2 1 -702 351 2 1 -350 175 2 1 -174 87 2 1 -86 43 2 1 -42 21 2 1 -20 10 2 1 -10 5 2 0 -4 2 2 1 -2 1 0 the Fractional part of the number is multiplied by the base of the new number system: 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 