Transfer 1100101101000001 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.

let's do a direct translation from binary to hexadecimal like this:

11001011010000012 = 1100 1011 0100 0001 = 1100(=C) 1011(=B) 0100(=4) 0001(=1) = CB4116

the Final answer: 11001011010000012 = CB4116

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

let's translate to decimal like this:

1∙215+1∙214+0∙213+0∙212+1∙211+0∙210+1∙29+1∙28+0∙27+1∙26+0∙25+0∙24+0∙23+0∙22+0∙21+1∙20 = 1∙32768+1∙16384+0∙8192+0∙4096+1∙2048+0∙1024+1∙512+1∙256+0∙128+1∙64+0∙32+0∙16+0∙8+0∙4+0∙2+1∙1 = 32768+16384+0+0+2048+0+512+256+0+64+0+0+0+0+0+1 = 5203310

got It: 11001011010000012 =5203310

Translate the number 5203310 в hexadecimal like this:

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

5203316
-52032325216
1-324820316
4-192C
B
Перевод чисел из одной системы счисления в другую

the result of the conversion was:

5203310 = CB4116
the Final answer: 11001011010000012 = CB4116

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