Transfer 101.100 from binary in octal 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 make a direct translation from binary to post-binary like this:

101.1002 = 101. 100 = 101(=5). 100(=4) = 5.48

the Final answer: 101.1002 = 5.48

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

let\'s translate to decimal like this:

1∙22+0∙21+1∙20+1∙2-1+0∙2-2+0∙2-3 = 1∙4+0∙2+1∙1+1∙0.5+0∙0.25+0∙0.125 = 4+0+1+0.5+0+0 = 5.510

got It: 101.1002 =5.510

Translate the number 5.510 в octal 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
0.5*8
4.0*8

the result of the conversion was:

5.510 = 5.48
the Final answer: 101.1002 = 5.48
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