Transfer 1001001 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:

0010010012 = 001 001 001 = 001(=1) 001(=1) 001(=1) = 1118

the Final answer: 10010012 = 1118

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

let's translate to decimal like this:

0∙28+0∙27+1∙26+0∙25+0∙24+1∙23+0∙22+0∙21+1∙20 = 0∙256+0∙128+1∙64+0∙32+0∙16+1∙8+0∙4+0∙2+1∙1 = 0+0+64+0+0+8+0+0+1 = 7310

got It: 0010010012 =7310

Translate the number 7310 в octal like this:

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

738
-7298
1-81
1
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

7310 = 1118
the Final answer: 10010012 = 1118

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