Transfer 000010010110 from binary in hexadecimal 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.

Fill in the number with missing zeros on the left

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

0000100101102 = 0000 1001 0110 = 0000(=0) 1001(=9) 0110(=6) = 09616

the Final answer: 0000100101102 = 09616

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

let\'s translate to decimal like this:

0∙211+0∙210+0∙29+0∙28+1∙27+0∙26+0∙25+1∙24+0∙23+1∙22+1∙21+0∙20 = 0∙2048+0∙1024+0∙512+0∙256+1∙128+0∙64+0∙32+1∙16+0∙8+1∙4+1∙2+0∙1 = 0+0+0+0+128+0+0+16+0+4+2+0 = 15010

got It: 0000100101102 =15010

Translate the number 15010 в hexadecimal like this:

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

15016
-1449
6
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

15010 = 9616
the Final answer: 0000100101102 = 9616
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