Problem $1$: If we have a main memory with size of $128$ words and each block is $4$ words, how many blocks are in the main memory?

Problem $2$: How many bits do we need to address $128$ words in main memory?

Problem $3$: If we have a cache size of $32$ words and a block size of $4$ words, how many lines are in the cache?

Problem $4$: Main Memory Size is $8$ GB$,$ Cache Size is $1$ MB$,$ Block Size is $4$ KB$,$ and Word Size is $1$ Byte. What is the size of the main memory in Bytes?

Problem $5$: Same context as the previous question. What is the Block Size in Bytes?

Problem $6$: Same context as problem $4.$ How many blocks are in main memory?

Problem $7$: Same context as problem $4.$ How many lines are in the Cache?

Problem $8$: If Main Memory Size is $512$ MB$,$ Cache Size is $512$ KB$,$ Block Size is $256$ B$,$ and Word Size is $1$ Byte, how many tag bits are there?

Problem $9$: A Byte$-$addressable Main Memory of Size $32$ GB$,$ Block Size of $16$ KB$,$ and $10$ tag bits are given. What is the Cache Size?