Transfer 0100 from hexadecimal 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 hexadecimal to binary like this:

010016 = 0 1 0 0 = 0(=0000) 1(=0001) 0(=0000) 0(=0000) = 1000000002

the Final answer: 010016 = 1000000002

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

let's translate to decimal like this:

0∙163+1∙162+0∙161+0∙160 = 0∙4096+1∙256+0∙16+0∙1 = 0+256+0+0 = 25610

got It: 010016 =25610

Translate the number 25610 в binary like this:

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

2562
-2561282
0-128642
0-64322
0-32162
0-1682
0-842
0-422
0-21
0
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

25610 = 1000000002
the Final answer: 010016 = 1000000002

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