Transfer 10000.011 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.

Fill in the number with missing zeros on the left

let\'s make a direct translation from binary to post-binary like this:

010000.0112 = 010 000. 011 = 010(=2) 000(=0). 011(=3) = 20.38

the Final answer: 10000.0112 = 20.38

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

let\'s translate to decimal like this:

0∙25+1∙24+0∙23+0∙22+0∙21+0∙20+0∙2-1+1∙2-2+1∙2-3 = 0∙32+1∙16+0∙8+0∙4+0∙2+0∙1+0∙0.5+1∙0.25+1∙0.125 = 0+16+0+0+0+0+0+0.25+0.125 = 16.37510

got It: 010000.0112 =16.37510

Translate the number 16.37510 в octal like this:

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

168
-162
0
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
0.375*8
3.0*8

the result of the conversion was:

16.37510 = 20.38
the Final answer: 10000.0112 = 20.38
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