Transfer 1110.0110 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 right

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

1110.01102 = 1110. 0110 = 1110(=E). 0110(=6) = E.616

the Final answer: 1110.01102 = E.616

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

let\'s translate to decimal like this:

1∙23+1∙22+1∙21+0∙20+0∙2-1+1∙2-2+1∙2-3+0∙2-4 = 1∙8+1∙4+1∙2+0∙1+0∙0.5+1∙0.25+1∙0.125+0∙0.0625 = 8+4+2+0+0+0.25+0.125+0 = 14.37510

got It: 1110.01102 =14.37510

Translate the number 14.37510 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:

14.37510 = E.616
the Final answer: 1110.01102 = E.616
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