Transfer 1010.1010 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:

001010.1010002 = 001 010. 101 000 = 001(=1) 010(=2). 101(=5) 000(=0) = 12.508

the Final answer: 1010.10102 = 12.508

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+0∙2-2+1∙2-3+0∙2-4+0∙2-5+0∙2-6 = 0∙32+0∙16+1∙8+0∙4+1∙2+0∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+0∙0.03125+0∙0.015625 = 0+0+8+0+2+0+0.5+0+0.125+0+0+0 = 10.62510

got It: 001010.1010002 =10.62510

Translate the number 10.62510 в octal like this:

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

108
-81
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
0.625*8
5.0*8

the result of the conversion was:

10.62510 = 12.58
the Final answer: 1010.10102 = 12.58
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