Transfer 0000.0110 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:

0000.01102 = 0000. 0110 = 0000(=0). 0110(=6) = 0.616

the Final answer: 0000.01102 = 0.616

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

let\'s translate to decimal like this:

0∙23+0∙22+0∙21+0∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4 = 0∙8+0∙4+0∙2+0∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625 = 0+0+0+0+0+0.25+0.125+0 = 0.37510

got It: 0000.01102 =0.37510

Translate the number 0.37510 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
0.375*16
6.0*16

the result of the conversion was:

0.37510 = 0.616
the Final answer: 0000.01102 = 0.616
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