Transfer 000110010011 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:

0001100100112 = 0001 1001 0011 = 0001(=1) 1001(=9) 0011(=3) = 19316

the Final answer: 0001100100112 = 19316

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+1∙27+0∙26+0∙25+1∙24+0∙23+0∙22+1∙21+1∙20 = 0∙2048+0∙1024+0∙512+1∙256+1∙128+0∙64+0∙32+1∙16+0∙8+0∙4+1∙2+1∙1 = 0+0+0+256+128+0+0+16+0+0+2+1 = 40310

got It: 0001100100112 =40310

Translate the number 40310 в hexadecimal like this:

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

40316
-4002516
3-161
9
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

40310 = 19316
the Final answer: 0001100100112 = 19316
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