Transfer 111010.001 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:

111010.0012 = 111 010. 001 = 111(=7) 010(=2). 001(=1) = 72.18

the Final answer: 111010.0012 = 72.18

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

let's translate to decimal like this:

1∙25+1∙24+1∙23+0∙22+1∙21+0∙20+0∙2-1+0∙2-2+1∙2-3 = 1∙32+1∙16+1∙8+0∙4+1∙2+0∙1+0∙0.5+0∙0.25+1∙0.125 = 32+16+8+0+2+0+0+0+0.125 = 58.12510

got It: 111010.0012 =58.12510

Translate the number 58.12510 в octal like this:

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

588
-567
2
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
0.125*8
1.0*8

the result of the conversion was:

58.12510 = 72.18
the Final answer: 111010.0012 = 72.18

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