Transfer 1FB.F2 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:

1FB.F216 = 1 F B. F 2 = 1(=0001) F(=1111) B(=1011). F(=1111) 2(=0010) = 111111011.11110012

the Final answer: 1FB.F216 = 111111011.11110012

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

let\'s translate to decimal like this:

1∙162+15∙161+11∙160+15∙16-1+2∙16-2 = 1∙256+15∙16+11∙1+15∙0.0625+2∙0.00390625 = 256+240+11+0.9375+0.0078125 = 507.945312510

got It: 1FB.F216 =507.945312510

Translate the number 507.945312510 в binary like this:

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

5072
-5062532
1-2521262
1-126632
0-62312
1-30152
1-1472
1-632
1-21
1
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
0.9453125*2
1.89063*2
1.78125*2
1.5625*2
1.125*2
0.25*2
0.5*2
1.0*2

the result of the conversion was:

507.945312510 = 111111011.11110012
the Final answer: 1FB.F216 = 111111011.11110012
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