Converting 2 byte to 1 byte???

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Is there any mathematical transformation method so that I can convert 2 byte data(say FF & DA in HEX) to a single byte(Say AD In HEX) and again recover the original 2 byte from the single byte?? :doh: :doh:

Posted 2-Nov-10 18:22pm

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Peter_in_2780 · Answer 1 · 2010-11-02T20:40:00

Short answer: NO.

Longer (but still simple) answer: In two bytes, you can express 65536 (= 256 * 256) different values. In one byte, you can express 256 different values. So you could pick 256 of your two-byte values to convert back and forth, but once you use any more, you can't convert back uniquely.

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Peter

Rajesh Anuhya · Answer 2 · 2010-11-02T23:15:00

Solution 2

Are You asking for MSB(Most significant Byte),LSB(Least significant Byte)

Some Protocols(Xmodem, Kermit) sends a byte as two bytes(some times)

For example : orginal byte : 256 
    it will sends 2 bytes 
            256/255 = 1
            256%255 = 255

Posted 2-Nov-10 23:15pm

Rajesh Anuhya

CPallini · Answer 3 · 2010-11-02T23:50:00

Solution 3

Nope.
Any transformation of the whole set of 2 bytes values into the whole set of 1 byte values is not injective so cannot be inverted (see bijection[^] at Wikipedia).
:)

Posted 2-Nov-10 23:50pm

CPallini

Updated 2-Nov-10 23:51pm

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Dalek Dave 3-Nov-10 6:14am

True!

Dave Kreskowiak · Answer 4 · 2010-11-03T17:20:00

No. You're actually adding overhead since you'll need some other data to "expand" the compressed byte back to its original value. You're not gaining anything by doing the "compression".

Compression techniques work over a larger block of bytes. The smaller the dataset, the less efficient compression becomes.

Converting 2 byte to 1 byte???

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