Transfer 3077 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:

30778 = 3 0 7 7 = 3(=011) 0(=000) 7(=111) 7(=111) = 0110001111112

the Final answer: 30778 = 110001111112

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

let's translate to decimal like this:

3∙83+0∙82+7∙81+7∙80 = 3∙512+0∙64+7∙8+7∙1 = 1536+0+56+7 = 159910

got It: 30778 =159910

Translate the number 159910 в binary like this:

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

15992
-15987992
1-7983992
1-3981992
1-198992
1-98492
1-48242
1-24122
0-1262
0-632
0-21
1
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

159910 = 110001111112
the Final answer: 30778 = 110001111112

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