Transfer CF3.13B 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:

CF3.13B16 = C F 3. 1 3 B = C(=1100) F(=1111) 3(=0011). 1(=0001) 3(=0011) B(=1011) = 110011110011.0001001110112

the Final answer: CF3.13B16 = 110011110011.0001001110112

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

let\'s translate to decimal like this:

12∙162+15∙161+3∙160+1∙16-1+3∙16-2+11∙16-3 = 12∙256+15∙16+3∙1+1∙0.0625+3∙0.00390625+11∙0.000244140625 = 3072+240+3+0.0625+0.01171875+0.002685546875 = 3315.07690429687510

got It: CF3.13B16 =3315.07690429687510

Translate the number 3315.07690429687510 в binary like this:

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

33152
-331416572
1-16568282
1-8284142
0-4142072
0-2061032
1-102512
1-50252
1-24122
1-1262
0-632
0-21
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
0.076904296875*2
0.15381*2
0.30762*2
0.61523*2
1.23047*2
0.46094*2
0.92188*2
1.84375*2
1.6875*2
1.375*2
0.75*2

the result of the conversion was:

3315.07690429687510 = 110011110011.00010011102
the Final answer: CF3.13B16 = 110011110011.00010011102
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