Transfer 3156 from octal in binary 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.

let's do a direct translation from octal to binary like this:

31568 = 3 1 5 6 = 3(=011) 1(=001) 5(=101) 6(=110) = 0110011011102

the Final answer: 31568 = 110011011102

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

let's translate to decimal like this:

3∙83+1∙82+5∙81+6∙80 = 3∙512+1∙64+5∙8+6∙1 = 1536+64+40+6 = 164610

got It: 31568 =164610

Translate the number 164610 в binary like this:

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

16462
-16468232
0-8224112
1-4102052
1-2041022
1-102512
0-50252
1-24122
1-1262
0-632
0-21
1
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

164610 = 110011011102
the Final answer: 31568 = 110011011102

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