Transfer 111001.011 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.

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

111001.0112 = 111 001. 011 = 111(=7) 001(=1). 011(=3) = 71.38

the Final answer: 111001.0112 = 71.38

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+0∙21+1∙20+0∙2-1+1∙2-2+1∙2-3 = 1∙32+1∙16+1∙8+0∙4+0∙2+1∙1+0∙0.5+1∙0.25+1∙0.125 = 32+16+8+0+0+1+0+0.25+0.125 = 57.37510

got It: 111001.0112 =57.37510

Translate the number 57.37510 в octal like this:

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

578
-567
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
0.375*8
3.0*8

the result of the conversion was:

57.37510 = 71.38
the Final answer: 111001.0112 = 71.38
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