Transfer 00011101011000111010 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:

000111010110001110102 = 0001 1101 0110 0011 1010 = 0001(=1) 1101(=D) 0110(=6) 0011(=3) 1010(=A) = 1D63A16

the Final answer: 000111010110001110102 = 1D63A16

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

let's translate to decimal like this:

0∙219+0∙218+0∙217+1∙216+1∙215+1∙214+0∙213+1∙212+0∙211+1∙210+1∙29+0∙28+0∙27+0∙26+1∙25+1∙24+1∙23+0∙22+1∙21+0∙20 = 0∙524288+0∙262144+0∙131072+1∙65536+1∙32768+1∙16384+0∙8192+1∙4096+0∙2048+1∙1024+1∙512+0∙256+0∙128+0∙64+1∙32+1∙16+1∙8+0∙4+1∙2+0∙1 = 0+0+0+65536+32768+16384+0+4096+0+1024+512+0+0+0+32+16+8+0+2+0 = 12037810

got It: 000111010110001110102 =12037810

Translate the number 12037810 в hexadecimal like this:

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

12037816
-120368752316
A-752047016
3-4642916
6-161
D
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

12037810 = 1D63A16
the Final answer: 000111010110001110102 = 1D63A16

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