Transfer FD 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:

FD16 = F D = F(=1111) D(=1101) = 111111012

the Final answer: FD16 = 111111012

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

let\'s translate to decimal like this:

15∙161+13∙160 = 15∙16+13∙1 = 240+13 = 25310

got It: FD16 =25310

Translate the number 25310 в binary like this:

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

 253 2 -252 126 2 1 -126 63 2 0 -62 31 2 1 -30 15 2 1 -14 7 2 1 -6 3 2 1 -2 1 1

the result of the conversion was:

25310 = 111111012
the Final answer: FD16 = 111111012
Permanent link to the result of this calculation

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