The main memory of a computer has $$2$$ $$cm$$ blocks while the cache has $$2$$ $$c$$ blocks. If the cache uses the set associative mapping scheme with $$2$$ blocks per set, then block $$k$$ of the main memory maps to the set:

A $$ROM$$ is used to store the table for multiplication of two $$8$$ bit unsigned integers. The size of $$ROM$$ required is

A $$ROM$$ is used to store a truth table for a binary multiplier unit that will multiply two $$4$$ bit numbers. The size of the $$ROM$$ (number of words $$ \times $$ number of bits) that is required to accommodate the truth table is $$M$$ words $$ \times $$ $$N$$ bits. Write the values of $$M$$ and $$N$$.

A computer system has a $$4K$$ word cache organized in block set associative manner with $$4$$ blocks per set, $$64$$ words per block. The number of bits in the $$SET$$ and $$WORD$$ fields of the main memory address format is