This question concerns the field GF(256). The modulus is P(x)=x8+x4+x3+x+1. For computing inverses in this field, you should use the table in the textbook. Please answer the following questions about arithmetic in this field. a) If p(x)=x7+x6+x3+1, and q(x)=x5+x4, what is p(x)/q(x)? b) If p(x)=x7+x3+x2+x, and q(x)=1, what is p(x)/q(x)?

Q: Could you please help me out with this question?

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Q: Did not get this problem right

A: Rewriting the expression: Simplifying:

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Q: State the fundamental theorem of arithmetic.

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Hash Table

A hash table also called a hash map, is a data structure that maps key-value pairs. The hash table can be used in complex systems to provide fast access and compact storage. A hash table is a structure that stores data in an abstract data type kind of associative array. It keeps data in an array format, with a distinct index value for every data value. If the index of the required data is known, then the data can be accessed very easily.