Transfer 125 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:

1258 = 1 2 5 = 1(=001) 2(=010) 5(=101) = 0010101012

the Final answer: 1258 = 10101012

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

let's translate to decimal like this:

1∙82+2∙81+5∙80 = 1∙64+2∙8+5∙1 = 64+16+5 = 8510

got It: 1258 =8510

Translate the number 8510 в binary like this:

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

852
-84422
1-42212
0-20102
1-1052
0-422
1-21
0
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

8510 = 10101012
the Final answer: 1258 = 10101012

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