Transfer 0110.1100 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:

0110.11002 = 0110. 1100 = 0110(=6). 1100(=C) = 6.C16

the Final answer: 0110.11002 = 6.C16

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

let\'s translate to decimal like this:

0∙23+1∙22+1∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+0∙2-4 = 0∙8+1∙4+1∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+0∙0.0625 = 0+4+2+0+0.5+0.25+0+0 = 6.7510

got It: 0110.11002 =6.7510

Translate the number 6.7510 в hexadecimal like this:

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:

6.7510 = 6.C16
the Final answer: 0110.11002 = 6.C16
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