Consider problem 3.1 from the required textbook for this course. that is, a 32-bit hash function defined as the concatenation of two 16-bit functions: xor and rxor. xor is described in section 3.2 as a simple vertical parity check, assuming that the hash is initialized to all zeros. rxor is described as a 1-bit left-shift rotation performed on the current hash value before each block (in sequence) is being xor-ed with it. that is, process each successive n-bit block of data: a. rotate the current hash value to the left by one bit. b. xor the block into the hash value. is it true that the following bit flips result in finding a message different than the original and that this new message "produces" the same hash? hint: write the original rxor hash and compare it to the final rxor hash you compute.

Consider a byte-addressable computer with 16mb of main memory, a cache capable of storing a total of 64kb of data and block size of 32 bytes. (a) how many bits in the memory address? (b) how many blocks are in the cache? (c) specify the format of the memory address, including names and sizes, when the cache is: 1. direct-mapped 2. 4-way set associative 3. fully associative

You have a linux system that has a 1000gb hard disk drive, which has a 90gb partition containing an ext4 filesystem mounted to the / directory and a 4gb swap partition. currently, this linux system is only used by a few users for storing small files; however, the department manager wants to upgrade this system and use it to run a database application that will be used by 100 users. the database application and the associated data will take up over 200gb of hard disk space. in addition, these 100 users will store their personal files on the hard disk of the system. each user must have a maximum of 5gb of storage space. the department manager has made it very clear that this system must not exhibit any downtime as a result of hard disk errors. how much hard disk space will you require, and what partitions would you need to ensure that the system will perform as needed? where would these partitions be mounted? what quotas would you implement? what commands would you need to run and what entries to /etc/fstab would you need to create? justify your answers.

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