# Transfer 2F.3 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:

2F.316 = 2 F. 3 = 2(=0010) F(=1111). 3(=0011) = 101111.00112

the Final answer: 2F.316 = 101111.00112

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

let\'s translate to decimal like this:

2∙161+15∙160+3∙16-1 = 2∙16+15∙1+3∙0.0625 = 32+15+0.1875 = 47.187510

got It: 2F.316 =47.187510

Translate the number 47.187510 в binary like this:

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

 47 2 -46 23 2 1 -22 11 2 1 -10 5 2 1 -4 2 2 1 -2 1 0 the Fractional part of the number is multiplied by the base of the new number system: 0. 1875*2 0 .375*2 0 .75*2 1 .5*2 1 .0*2

the result of the conversion was:

47.187510 = 101111.00112
the Final answer: 2F.316 = 101111.00112
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