Transfer 001010001100.1100 from binary in hexadecimal 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.

Fill in the number with missing zeros on the left

Fill in the number with missing zeros on the right

let's do a direct translation from binary to hexadecimal like this:

001010001100.11002 = 0010 1000 1100. 1100 = 0010(=2) 1000(=8) 1100(=C). 1100(=C) = 28C.C16

the Final answer: 001010001100.11002 = 28C.C16

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

let's translate to decimal like this:

0∙211+0∙210+1∙29+0∙28+1∙27+0∙26+0∙25+0∙24+1∙23+1∙22+0∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙2048+0∙1024+1∙512+0∙256+1∙128+0∙64+0∙32+0∙16+1∙8+1∙4+0∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+0+512+0+128+0+0+0+8+4+0+0+0.5+0.25+0+0 = 652.7510

got It: 001010001100.11002 =652.7510

Translate the number 652.7510 в hexadecimal like this:

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

65216
-6404016
C-322
8
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
0.75*16
C.0*16

the result of the conversion was:

652.7510 = 28C.C16
the Final answer: 001010001100.11002 = 28C.C16

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