Transfer 6108.4C 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:

6108.4C16 = 6 1 0 8. 4 C = 6(=0110) 1(=0001) 0(=0000) 8(=1000). 4(=0100) C(=1100) = 110000100001000.0100112

the Final answer: 6108.4C16 = 110000100001000.0100112

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

let\'s translate to decimal like this:

6∙163+1∙162+0∙161+8∙160+4∙16-1+12∙16-2 = 6∙4096+1∙256+0∙16+8∙1+4∙0.0625+12∙0.00390625 = 24576+256+0+8+0.25+0.046875 = 24840.29687510

got It: 6108.4C16 =24840.29687510

Translate the number 24840.29687510 в binary like this:

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

248402
-24840124202
0-1242062102
0-621031052
0-310415522
1-15527762
0-7763882
0-3881942
0-194972
0-96482
1-48242
0-24122
0-1262
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
0.296875*2
0.59375*2
1.1875*2
0.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

24840.29687510 = 110000100001000.0100112
the Final answer: 6108.4C16 = 110000100001000.0100112
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