# Transfer 1110.011 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:

001110.0112 = 001 110. 011 = 001(=1) 110(=6). 011(=3) = 16.38

the Final answer: 1110.0112 = 16.38

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

let\'s translate to decimal like this:

0∙25+0∙24+1∙23+1∙22+1∙21+0∙20+0∙2-1+1∙2-2+1∙2-3 = 0∙32+0∙16+1∙8+1∙4+1∙2+0∙1+0∙0.5+1∙0.25+1∙0.125 = 0+0+8+4+2+0+0+0.25+0.125 = 14.37510

got It: 001110.0112 =14.37510

Translate the number 14.37510 в octal like this:

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

 14 8 -8 1 6 the Fractional part of the number is multiplied by the base of the new number system: 0. 375*8 3 .0*8

the result of the conversion was:

14.37510 = 16.38
the Final answer: 1110.0112 = 16.38
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