Transfer BCDE.A from hexadecimal in binary 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 hexadecimal to binary like this:

BCDE.A16 = B C D E. A = B(=1011) C(=1100) D(=1101) E(=1110). A(=1010) = 1011110011011110.1012

the Final answer: BCDE.A16 = 1011110011011110.1012

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

let\'s translate to decimal like this:

11∙163+12∙162+13∙161+14∙160+10∙16-1 = 11∙4096+12∙256+13∙16+14∙1+10∙0.0625 = 45056+3072+208+14+0.625 = 48350.62510

got It: BCDE.A16 =48350.62510

Translate the number 48350.62510 в binary like this:

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

483502
-48350241752
0-24174120872
1-1208660432
1-604230212
1-302015102
1-15107552
0-7543772
1-3761882
1-188942
0-94472
0-46232
1-22112
1-1052
1-422
1-21
0
Перевод чисел из одной системы счисления в другую

the Fractional part of the number is multiplied by the base of the new number system:

 Transferring numbers from one number system to another
0.625*2
1.25*2
0.5*2
1.0*2

the result of the conversion was:

48350.62510 = 1011110011011110.1012
the Final answer: BCDE.A16 = 1011110011011110.1012
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