Transfer 000001110001 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:

0000011100012 = 0000 0111 0001 = 0000(=0) 0111(=7) 0001(=1) = 07116

the Final answer: 0000011100012 = 07116

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+0∙27+1∙26+1∙25+1∙24+0∙23+0∙22+0∙21+1∙20 = 0∙2048+0∙1024+0∙512+0∙256+0∙128+1∙64+1∙32+1∙16+0∙8+0∙4+0∙2+1∙1 = 0+0+0+0+0+64+32+16+0+0+0+1 = 11310

got It: 0000011100012 =11310

Translate the number 11310 в hexadecimal like this:

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

11316
-1127
1
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

11310 = 7116
the Final answer: 0000011100012 = 7116
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