Transfer 01001110010 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:

0010011100102 = 001 001 110 010 = 001(=1) 001(=1) 110(=6) 010(=2) = 11628

the Final answer: 010011100102 = 11628

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

let\'s translate to decimal like this:

0∙211+0∙210+1∙29+0∙28+0∙27+1∙26+1∙25+1∙24+0∙23+0∙22+1∙21+0∙20 = 0∙2048+0∙1024+1∙512+0∙256+0∙128+1∙64+1∙32+1∙16+0∙8+0∙4+1∙2+0∙1 = 0+0+512+0+0+64+32+16+0+0+2+0 = 62610

got It: 0010011100102 =62610

Translate the number 62610 в octal like this:

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

6268
-624788
2-7298
6-81
1
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

62610 = 11628
the Final answer: 010011100102 = 11628
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