# Transfer 285A.257 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:

285A.25716 = 2 8 5 A. 2 5 7 = 2(=0010) 8(=1000) 5(=0101) A(=1010). 2(=0010) 5(=0101) 7(=0111) = 10100001011010.0010010101112

the Final answer: 285A.25716 = 10100001011010.0010010101112

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

let\'s translate to decimal like this:

2∙163+8∙162+5∙161+10∙160+2∙16-1+5∙16-2+7∙16-3 = 2∙4096+8∙256+5∙16+10∙1+2∙0.0625+5∙0.00390625+7∙0.000244140625 = 8192+2048+80+10+0.125+0.01953125+0.001708984375 = 10330.14624023437510

got It: 285A.25716 =10330.14624023437510

Translate the number 10330.14624023437510 в binary like this:

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

 10330 2 -10330 5165 2 0 -5164 2582 2 1 -2582 1291 2 0 -1290 645 2 1 -644 322 2 1 -322 161 2 0 -160 80 2 1 -80 40 2 0 -40 20 2 0 -20 10 2 0 -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. 146240234375*2 0 .29248*2 0 .58496*2 1 .16992*2 0 .33984*2 0 .67969*2 1 .35938*2 0 .71875*2 1 .4375*2 0 .875*2 1 .75*2

the result of the conversion was:

10330.14624023437510 = 10100001011010.00100101012
the Final answer: 285A.25716 = 10100001011010.00100101012
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