Transfer 000101001010 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:

0001010010102 = 0001 0100 1010 = 0001(=1) 0100(=4) 1010(=A) = 14A16

the Final answer: 0001010010102 = 14A16

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

let's translate to decimal like this:

0∙211+0∙210+0∙29+1∙28+0∙27+1∙26+0∙25+0∙24+1∙23+0∙22+1∙21+0∙20 = 0∙2048+0∙1024+0∙512+1∙256+0∙128+1∙64+0∙32+0∙16+1∙8+0∙4+1∙2+0∙1 = 0+0+0+256+0+64+0+0+8+0+2+0 = 33010

got It: 0001010010102 =33010

Translate the number 33010 в hexadecimal like this:

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

33016
-3202016
A-161
4
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

33010 = 14A16
the Final answer: 0001010010102 = 14A16

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