# 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:

 24840 2 -24840 12420 2 0 -12420 6210 2 0 -6210 3105 2 0 -3104 1552 2 1 -1552 776 2 0 -776 388 2 0 -388 194 2 0 -194 97 2 0 -96 48 2 1 -48 24 2 0 -24 12 2 0 -12 6 2 0 -6 3 2 0 -2 1 1

the Fractional part of the number is multiplied by the base of the new number system:

 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
Permanent link to the result of this calculation

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