Homework Answers
a) Any bit-string will either being with 1 or 0. If it begins with 0 then it must have 00 or 01 as its first two characters
Thus, any bit-string must fall under exactly one of the 3 categories: It starts with 1, It starts with 00, It starts with 01
Thus, such sets form a partition of the set of bit-strings of length 8
b) This is not partition because there exists a string of length 8 which lies in multiples sets.
For example, the string 00011011 is a string of length 8 that lies in each of the 4 sets.
So the given sets don't partition the set of bit-strings of length 8
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