Transfer 10001.101 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:

010001.1012 = 010 001. 101 = 010(=2) 001(=1). 101(=5) = 21.58

the Final answer: 10001.1012 = 21.58

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+1∙20+1∙2-1+0∙2-2+1∙2-3 = 0∙32+1∙16+0∙8+0∙4+0∙2+1∙1+1∙0.5+0∙0.25+1∙0.125 = 0+16+0+0+0+1+0.5+0+0.125 = 17.62510

got It: 010001.1012 =17.62510

Translate the number 17.62510 в octal like this:

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

178
-162
1
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
0.625*8
5.0*8

the result of the conversion was:

17.62510 = 21.58
the Final answer: 10001.1012 = 21.58
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