https://binary2hex.com/numberconverter.html?id=17853

# Transfer 1010.1101 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

Fill in the number with missing zeros on the right

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

001010.1101002 = 001 010. 110 100 = 001(=1) 010(=2). 110(=6) 100(=4) = 12.648

the Final answer: 1010.11012 = 12.648

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

let\'s translate to decimal like this:

0∙25+0∙24+1∙23+0∙22+1∙21+0∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4+0∙2-5+0∙2-6 = 0∙32+0∙16+1∙8+0∙4+1∙2+0∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625+0∙0.03125+0∙0.015625 = 0+0+8+0+2+0+0.5+0.25+0+0.0625+0+0 = 10.812510

got It: 001010.1101002 =10.812510

Translate the number 10.812510 в octal like this:

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

 10 8 -8 1 2 the Fractional part of the number is multiplied by the base of the new number system: 0. 8125*8 6 .5*8 4 .0*8

the result of the conversion was:

10.812510 = 12.648
the Final answer: 1010.11012 = 12.648
Permanent link to the result of this calculation