Transfer 7753 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:

77538 = 7 7 5 3 = 7(=111) 7(=111) 5(=101) 3(=011) = 1111111010112

the Final answer: 77538 = 1111111010112

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

let's translate to decimal like this:

7∙83+7∙82+5∙81+3∙80 = 7∙512+7∙64+5∙8+3∙1 = 3584+448+40+3 = 407510

got It: 77538 =407510

Translate the number 407510 в binary like this:

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

40752
-407420372
1-203610182
1-10185092
0-5082542
1-2541272
0-126632
1-62312
1-30152
1-1472
1-632
1-21
1
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

407510 = 1111111010112
the Final answer: 77538 = 1111111010112

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