Transfer 0111111011111100 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:

01111110111111002 = 0111 1110 1111 1100 = 0111(=7) 1110(=E) 1111(=F) 1100(=C) = 7EFC16

the Final answer: 01111110111111002 = 7EFC16

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

let's translate to decimal like this:

0∙215+1∙214+1∙213+1∙212+1∙211+1∙210+1∙29+0∙28+1∙27+1∙26+1∙25+1∙24+1∙23+1∙22+0∙21+0∙20 = 0∙32768+1∙16384+1∙8192+1∙4096+1∙2048+1∙1024+1∙512+0∙256+1∙128+1∙64+1∙32+1∙16+1∙8+1∙4+0∙2+0∙1 = 0+16384+8192+4096+2048+1024+512+0+128+64+32+16+8+4+0+0 = 3250810

got It: 01111110111111002 =3250810

Translate the number 3250810 в hexadecimal like this:

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

3250816
-32496203116
C-201612616
F-1127
E
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

3250810 = 7EFC16
the Final answer: 01111110111111002 = 7EFC16

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