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Transfer 1010001110 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:

0010100011102 = 001 010 001 110 = 001(=1) 010(=2) 001(=1) 110(=6) = 12168

answer: 10100011102 = 12168

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+1∙27+0∙26+0∙25+0∙24+1∙23+1∙22+1∙21+0∙20 = 0∙2048+0∙1024+1∙512+0∙256+1∙128+0∙64+0∙32+0∙16+1∙8+1∙4+1∙2+0∙1 = 0+0+512+0+128+0+0+0+8+4+2+0 = 65410

got It: 0010100011102 =65410

Translate the number 65410 в octal like this:

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

6548
-648818
6-80108
1-81
2
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

65410 = 12168
answer: 10100011102 = 12168