Digital Electronics
An X-OR gate gives a high output

 if the decimal value of digital word is even
 if there are odd number of 1s
 for odd decimal value.
 if it has even number of 0s

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Digital Electronics
In K-map simplification, a group of four adjacent 1s leads to a term with

 three literals less than the total number of variables
 one literal less than the total number of variables
 four literals less than the total number of variables
 two literals less than the total number of variables

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