# 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:

 48350 2 -48350 24175 2 0 -24174 12087 2 1 -12086 6043 2 1 -6042 3021 2 1 -3020 1510 2 1 -1510 755 2 0 -754 377 2 1 -376 188 2 1 -188 94 2 0 -94 47 2 0 -46 23 2 1 -22 11 2 1 -10 5 2 1 -4 2 2 1 -2 1 0

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

 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
Permanent link to the result of this calculation

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