Transfer 3A.5B 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:

3A.5B16 = 3 A. 5 B = 3(=0011) A(=1010). 5(=0101) B(=1011) = 111010.010110112

the Final answer: 3A.5B16 = 111010.010110112

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

let\'s translate to decimal like this:

3∙161+10∙160+5∙16-1+11∙16-2 = 3∙16+10∙1+5∙0.0625+11∙0.00390625 = 48+10+0.3125+0.04296875 = 58.3554687510

got It: 3A.5B16 =58.3554687510

Translate the number 58.3554687510 в binary like this:

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

582
-58292
0-28142
1-1472
0-632
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
0.35546875*2
0.71094*2
1.42188*2
0.84375*2
1.6875*2
1.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

58.3554687510 = 111010.010110112
the Final answer: 3A.5B16 = 111010.010110112
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